diff --git a/.gitignore b/.gitignore
index e36170cfa..5c3e1d548 100644
--- a/.gitignore
+++ b/.gitignore
@@ -10,3 +10,4 @@ fuzz/corpus
 fuzz/artifacts
 proofs/fstar/extraction/.cache
 __pycache__
+kyber-crate/
diff --git a/add-c-kyber-to-nss.py b/add-c-kyber-to-nss.py
new file mode 100755
index 000000000..5b7c39287
--- /dev/null
+++ b/add-c-kyber-to-nss.py
@@ -0,0 +1,133 @@
+#! /usr/bin/env python3
+
+import os
+import subprocess
+import re
+import shutil
+import argparse
+
+
+def shell(command, expect=0, cwd=None, env={}):
+    subprocess_stdout = subprocess.DEVNULL
+
+    os_env = os.environ
+    os_env.update(env)
+
+    result = subprocess.run(
+        command, cwd=cwd, env=os_env, capture_output=True, text=True
+    )
+
+    if result.returncode != expect:
+        raise Exception("Error {}. Expected {}.".format(result, expect))
+
+    return result.stdout
+
+
+def add_libcrux_kyber_h(c_extraction_root, freebl_verified_root):
+    path_to_header = os.path.join(c_extraction_root, "libcrux_kyber.h")
+    destination = os.path.join(freebl_verified_root, "internal", "Libcrux_Kyber_768.h")
+
+    shell(["clang-format", "-i", "-style=Google", destination])
+
+    with open(destination, "r") as f:
+        original = f.read()
+        replaced = re.sub("extern void libcrux_digest_sha3_512.*\n", "", original)
+        replaced = re.sub("extern void libcrux_digest_sha3_256.*\n", "", replaced)
+    with open(destination, "w") as f:
+        f.write(replaced)
+
+    shell(["clang-format", "-i", "-style=Mozilla", destination])
+
+
+def add_libcrux_kyber_c(c_extraction_root, freebl_verified_root):
+    path_to_c_file = os.path.join(c_extraction_root, "libcrux_kyber.c")
+    destination = os.path.join(freebl_verified_root, "Libcrux_Kyber_768.c")
+    shutil.copyfile(path_to_c_file, destination)
+
+    shell(["clang-format", "-i", "-style=Google", destination])
+
+    sed_cmd = shutil.which("gsed")
+    if sed_cmd is None:
+        sed_cmd = shutil.which("sed")
+
+    ctags = shell(["ctags", "--fields=+ne", "-o", "-", destination])
+    sed_input = ""
+    for line in ctags.splitlines():
+        if (
+            "libcrux_kyber_serialize_compress_then_serialize_11___320size_t" in line
+            or "libcrux_kyber_serialize_compress_then_serialize_5___128size_t" in line
+        ):
+            line_start = re.findall(r"line:(\d+)", line)[0]
+            line_end = re.findall(r"end:(\d+)", line)[0]
+            sed_input = "{},{}d;{}".format(line_start, line_end, sed_input)
+
+    shell([sed_cmd, "-i", sed_input, destination])
+
+    with open(destination, "r") as f:
+        original = f.read()
+        replaced = re.sub(
+            '#include "libcrux_kyber.h"',
+            '#include "internal/Libcrux_Kyber_768.h"',
+            original,
+        )
+        replaced = re.sub(
+            '#include "libcrux_hacl_glue.h"',
+            '#include "Libcrux_Kyber_Hash_Functions.h"',
+            replaced,
+        )
+        replaced = re.sub("uu____0 = !false", "uu____0 = false", replaced)
+    with open(destination, "w") as f:
+        f.write(replaced)
+
+    shell(["clang-format", "-i", "-style=Mozilla", destination])
+
+
+def add_internal_core_h(c_extraction_root, freebl_verified_root):
+    src_file = os.path.join(c_extraction_root, "internal", "core.h")
+    destination = os.path.join(freebl_verified_root, "internal", "core.h")
+
+    shutil.copyfile(src_file, destination)
+    shell(["clang-format", "-i", "-style=Mozilla", destination])
+
+
+def add_Eurydice_h(c_extraction_root, freebl_verified_root):
+    src_file = os.path.join(c_extraction_root, "Eurydice.h")
+    destination = os.path.join(freebl_verified_root, "eurydice", "Eurydice.h")
+
+    shutil.copyfile(src_file, destination)
+    shell(["clang-format", "-i", "-style=Mozilla", destination])
+
+
+def add_eurydice_glue_h(c_extraction_root, freebl_verified_root):
+    src_file = os.path.join(c_extraction_root, "eurydice_glue.h")
+    destination = os.path.join(freebl_verified_root, "eurydice", "eurydice_glue.h")
+
+    shutil.copyfile(src_file, destination)
+    shell(["clang-format", "-i", "-style=Mozilla", destination])
+
+
+parser = argparse.ArgumentParser()
+parser.add_argument(
+    "--nss-root",
+    required=True,
+    help="Absolute or relative path to the root directory containing the NSS source code.",
+    type=os.path.abspath,
+)
+parser.add_argument(
+    "--kyber-c-root",
+    required=True,
+    help="Absolute or relative path to the root directory containing the extracted Kyber C code.",
+    type=os.path.abspath,
+)
+args = parser.parse_args()
+
+nss_root = args.nss_root
+freebl_verified_root = os.path.join(nss_root, "lib", "freebl", "verified")
+
+c_extraction_root = args.kyber_c_root
+
+add_libcrux_kyber_h(c_extraction_root, freebl_verified_root)
+add_libcrux_kyber_c(c_extraction_root, freebl_verified_root)
+add_internal_core_h(c_extraction_root, freebl_verified_root)
+add_Eurydice_h(c_extraction_root, freebl_verified_root)
+add_eurydice_glue_h(c_extraction_root, freebl_verified_root)
diff --git a/kyber-crate-tests/kyber.rs b/kyber-crate-tests/kyber.rs
new file mode 100644
index 000000000..d13d140c5
--- /dev/null
+++ b/kyber-crate-tests/kyber.rs
@@ -0,0 +1,200 @@
+use libcrux::{
+    digest::shake256,
+    kem::{self, Algorithm, Ct, PrivateKey},
+};
+
+use rand::{CryptoRng, Rng};
+
+use rand::rngs::OsRng;
+
+const SHARED_SECRET_SIZE: usize = 32;
+
+macro_rules! impl_consistency {
+    ($name:ident, $alg:expr) => {
+        #[test]
+        fn $name() {
+            let mut rng = OsRng;
+
+            if let Ok((secret_key, public_key)) = kem::key_gen($alg, &mut rng) {
+                if let Ok((shared_secret, ciphertext)) = kem::encapsulate(&public_key, &mut rng) {
+                    let shared_secret_decapsulated =
+                        kem::decapsulate(&ciphertext, &secret_key).unwrap();
+                    assert_eq!(shared_secret.encode(), shared_secret_decapsulated.encode());
+                }
+            }
+
+            // If the randomness was not enough for the rejection sampling step
+            // in key-generation and encapsulation, simply return without
+            // failing.
+        }
+    };
+}
+
+fn modify_ciphertext(alg: Algorithm, rng: &mut (impl CryptoRng + Rng), ciphertext: Ct) -> Ct {
+    let mut raw_ciphertext = ciphertext.encode();
+
+    let mut random_u32: usize = rng.next_u32().try_into().unwrap();
+
+    let mut random_byte: u8 = (random_u32 & 0xFF) as u8;
+    if random_byte == 0 {
+        random_byte += 1;
+    }
+    random_u32 >>= 8;
+
+    let position = random_u32 % raw_ciphertext.len();
+    raw_ciphertext[position] ^= random_byte;
+
+    Ct::decode(alg, &raw_ciphertext).unwrap()
+}
+
+macro_rules! impl_modified_ciphertext {
+    ($name:ident, $alg:expr) => {
+        #[test]
+        fn $name() {
+            let mut rng = OsRng;
+
+            if let Ok((secret_key, public_key)) = kem::key_gen($alg, &mut rng) {
+                if let Ok((shared_secret, ciphertext)) = kem::encapsulate(&public_key, &mut rng) {
+                    let ciphertext = modify_ciphertext($alg, &mut rng, ciphertext);
+                    let shared_secret_decapsulated =
+                        kem::decapsulate(&ciphertext, &secret_key).unwrap();
+
+                    assert_ne!(shared_secret.encode(), shared_secret_decapsulated.encode());
+                }
+            }
+            // if the randomness was not enough for the rejection sampling step
+            // in key-generation and encapsulation, simply return without
+            // failing.
+        }
+    };
+}
+
+fn modify_secret_key(
+    alg: Algorithm,
+    rng: &mut (impl CryptoRng + Rng),
+    secret_key: PrivateKey,
+    modify_implicit_rejection_value: bool,
+) -> PrivateKey {
+    let mut raw_secret_key = secret_key.encode();
+
+    let mut random_u32: usize = rng.next_u32().try_into().unwrap();
+
+    let mut random_byte: u8 = (random_u32 & 0xFF) as u8;
+    if random_byte == 0 {
+        random_byte += 1;
+    }
+    random_u32 >>= 8;
+
+    let position = if modify_implicit_rejection_value {
+        (raw_secret_key.len() - SHARED_SECRET_SIZE) + (random_u32 % SHARED_SECRET_SIZE)
+    } else {
+        random_u32 % (raw_secret_key.len() - SHARED_SECRET_SIZE)
+    };
+
+    raw_secret_key[position] ^= random_byte;
+
+    PrivateKey::decode(alg, &raw_secret_key).unwrap()
+}
+
+fn compute_implicit_rejection_shared_secret(
+    ciphertext: Ct,
+    secret_key: PrivateKey,
+) -> [u8; SHARED_SECRET_SIZE] {
+    let raw_secret_key = secret_key.encode();
+
+    let mut to_hash = raw_secret_key[raw_secret_key.len() - SHARED_SECRET_SIZE..].to_vec();
+    to_hash.extend_from_slice(&ciphertext.encode());
+
+    shake256(&to_hash)
+}
+
+macro_rules! impl_modified_secret_key {
+    ($name:ident, $alg:expr) => {
+        #[test]
+        fn $name() {
+            let mut rng = OsRng;
+
+            if let Ok((secret_key, public_key)) = kem::key_gen($alg, &mut rng) {
+                if let Ok((shared_secret, ciphertext)) = kem::encapsulate(&public_key, &mut rng) {
+                    let secret_key = modify_secret_key($alg, &mut rng, secret_key, false);
+                    let shared_secret_decapsulated =
+                        kem::decapsulate(&ciphertext, &secret_key).unwrap();
+                    assert_ne!(shared_secret.encode(), shared_secret_decapsulated.encode());
+
+                    let secret_key = modify_secret_key($alg, &mut rng, secret_key, true);
+                    let shared_secret_decapsulated =
+                        kem::decapsulate(&ciphertext, &secret_key).unwrap();
+
+                    assert_eq!(
+                        shared_secret_decapsulated.encode(),
+                        compute_implicit_rejection_shared_secret(ciphertext, secret_key)
+                    );
+                }
+            }
+
+            // if the randomness was not enough for the rejection sampling step
+            // in key-generation and encapsulation, simply return without
+            // failing.
+        }
+    };
+}
+
+macro_rules! impl_modified_ciphertext_and_implicit_rejection_value {
+    ($name:ident, $alg:expr) => {
+        #[test]
+        fn $name() {
+            let mut rng = OsRng;
+
+            if let Ok((secret_key, public_key)) = kem::key_gen($alg, &mut rng) {
+                if let Ok((_, ciphertext)) = kem::encapsulate(&public_key, &mut rng) {
+                    let ciphertext = modify_ciphertext($alg, &mut rng, ciphertext);
+                    let shared_secret_decapsulated =
+                        kem::decapsulate(&ciphertext, &secret_key).unwrap();
+
+                    let secret_key = modify_secret_key($alg, &mut rng, secret_key, true);
+                    let shared_secret_decapsulated_1 =
+                        kem::decapsulate(&ciphertext, &secret_key).unwrap();
+
+                    assert_ne!(
+                        shared_secret_decapsulated.encode(),
+                        shared_secret_decapsulated_1.encode()
+                    );
+
+                    assert_eq!(
+                        shared_secret_decapsulated_1.encode(),
+                        compute_implicit_rejection_shared_secret(ciphertext, secret_key)
+                    );
+                }
+            }
+
+            // if the randomness was not enough for the rejection sampling step
+            // in key-generation and encapsulation, simply return without
+            // failing.
+        }
+    };
+}
+
+impl_consistency!(consistency_512, Algorithm::Kyber512);
+impl_consistency!(consistency_768, Algorithm::Kyber768);
+impl_consistency!(consistency_1024, Algorithm::Kyber1024);
+
+impl_modified_ciphertext!(modified_ciphertext_512, Algorithm::Kyber512);
+impl_modified_ciphertext!(modified_ciphertext_768, Algorithm::Kyber768);
+impl_modified_ciphertext!(modified_ciphertext_1024, Algorithm::Kyber1024);
+
+impl_modified_secret_key!(modified_secret_key_512, Algorithm::Kyber512);
+impl_modified_secret_key!(modified_secret_key_768, Algorithm::Kyber768);
+impl_modified_secret_key!(modified_secret_key_1024, Algorithm::Kyber1024);
+
+impl_modified_ciphertext_and_implicit_rejection_value!(
+    modified_ciphertext_and_implicit_rejection_value_512,
+    Algorithm::Kyber512
+);
+impl_modified_ciphertext_and_implicit_rejection_value!(
+    modified_ciphertext_and_implicit_rejection_value_768,
+    Algorithm::Kyber768
+);
+impl_modified_ciphertext_and_implicit_rejection_value!(
+    modified_ciphertext_and_implicit_rejection_value_1024,
+    Algorithm::Kyber1024
+);
diff --git a/kyber-crate-tests/kyber_kats/README.md b/kyber-crate-tests/kyber_kats/README.md
new file mode 100644
index 000000000..17024363b
--- /dev/null
+++ b/kyber-crate-tests/kyber_kats/README.md
@@ -0,0 +1 @@
+In order to regenerate the JSON KAT files for all parameter sets, simply run `./generate_kats.py`.
diff --git a/kyber-crate-tests/kyber_kats/generate_kats.py b/kyber-crate-tests/kyber_kats/generate_kats.py
new file mode 100755
index 000000000..7dd7530df
--- /dev/null
+++ b/kyber-crate-tests/kyber_kats/generate_kats.py
@@ -0,0 +1,91 @@
+#! /usr/bin/env python3
+
+# This file is a modified version of:
+# https://github.com/bwesterb/draft-schwabe-cfrg-kyber/blob/main/kyber_test.py
+
+from kyber import *
+
+import hashlib
+import json
+
+import Crypto
+from Crypto.Cipher import AES
+
+
+class NistDRBG:
+    """NIST's DRBG used to generate NIST's Known Answer Tests (KATs),
+    see PQCgenKAT.c."""
+
+    def __init__(self, seed):
+        self.key = b"\0" * 32
+        self.v = 0
+        assert len(seed) == 48
+        self._update(seed)
+
+    def _update(self, seed):
+        b = AES.new(self.key, AES.MODE_ECB)
+        buf = b""
+        for i in range(3):
+            self.v += 1
+            buf += b.encrypt(self.v.to_bytes(16, "big"))
+        if seed is not None:
+            buf = bytes([x ^ y for x, y in zip(seed, buf)])
+        self.key = buf[:32]
+        self.v = int.from_bytes(buf[32:], "big")
+
+    def read(self, length):
+        b = AES.new(self.key, AES.MODE_ECB)
+        ret = b""
+        while len(ret) < length:
+            self.v += 1
+            block = b.encrypt(self.v.to_bytes(16, "big"))
+            ret += block
+        self._update(None)
+        return ret[:length]
+
+
+for params in [params512, params768, params1024]:
+    kats_formatted = []
+    seed = bytes(range(48))
+    g = NistDRBG(seed)
+
+    print("Generating KATs for {} parameter set.".format(params))
+
+    for i in range(100):
+        seed = g.read(48)
+        g2 = NistDRBG(seed)
+
+        kseed = g2.read(32) + g2.read(32)
+        eseed = g2.read(32)
+
+        pk, sk = KeyGen(kseed, params)
+        ct, ss = Enc(pk, eseed, params)
+
+        Dec(sk, ct, params)
+
+        kats_formatted.append(
+            {
+                "key_generation_seed": bytes(kseed).hex(),
+                "sha3_256_hash_of_public_key": bytes(
+                    hashlib.sha3_256(pk).digest()
+                ).hex(),
+                "sha3_256_hash_of_secret_key": bytes(
+                    hashlib.sha3_256(sk).digest()
+                ).hex(),
+                "encapsulation_seed": bytes(eseed).hex(),
+                "sha3_256_hash_of_ciphertext": bytes(
+                    hashlib.sha3_256(ct).digest()
+                ).hex(),
+                "shared_secret": bytes(ss).hex(),
+            }
+        )
+
+        if params == params512:
+            output_suffix = "512"
+        elif params == params768:
+            output_suffix = "768"
+        else:
+            output_suffix = "1024"
+
+        with open("nistkats_{}.json".format(output_suffix), "w") as f:
+            json.dump(kats_formatted, f, ensure_ascii=False, indent=4)
diff --git a/kyber-crate-tests/kyber_kats/kyber.py b/kyber-crate-tests/kyber_kats/kyber.py
new file mode 100644
index 000000000..60b6463fe
--- /dev/null
+++ b/kyber-crate-tests/kyber_kats/kyber.py
@@ -0,0 +1,363 @@
+# This file is:
+# https://github.com/bwesterb/draft-schwabe-cfrg-kyber/blob/a03ab13c241a1a0b6adc676d27be79843b03abc8/kyber.py
+# with changes made to match the FIPS-203 draft as well as formatting changes
+# made by the black formatter.
+
+# WARNING This is a specification of Kyber; not a production ready
+# implementation. It is slow and does not run in constant time.
+
+# Requires the CryptoDome for SHAKE. To install, run
+#
+#   pip install pycryptodome pytest
+from Crypto.Hash import SHAKE128, SHAKE256
+
+import io
+import hashlib
+import functools
+import collections
+
+from math import floor
+
+q = 3329
+nBits = 8
+zeta = 17
+eta2 = 2
+
+n = 2**nBits
+inv2 = (q + 1) // 2  # inverse of 2
+
+params = collections.namedtuple("params", ("k", "du", "dv", "eta1"))
+
+params512 = params(k=2, du=10, dv=4, eta1=3)
+params768 = params(k=3, du=10, dv=4, eta1=2)
+params1024 = params(k=4, du=11, dv=5, eta1=2)
+
+
+def smod(x):
+    r = x % q
+    if r > (q - 1) // 2:
+        r -= q
+    return r
+
+
+# Rounds to nearest integer with ties going up
+def Round(x):
+    return int(floor(x + 0.5))
+
+
+def Compress(x, d):
+    return Round((2**d / q) * x) % (2**d)
+
+
+def Decompress(y, d):
+    assert 0 <= y and y <= 2**d
+    return Round((q / 2**d) * y)
+
+
+def BitsToWords(bs, w):
+    assert len(bs) % w == 0
+    return [sum(bs[i + j] * 2**j for j in range(w)) for i in range(0, len(bs), w)]
+
+
+def WordsToBits(bs, w):
+    return sum([[(b >> i) % 2 for i in range(w)] for b in bs], [])
+
+
+def Encode(a, w):
+    return bytes(BitsToWords(WordsToBits(a, w), 8))
+
+
+def Decode(a, w):
+    return BitsToWords(WordsToBits(a, 8), w)
+
+
+def brv(x):
+    """Reverses a 7-bit number"""
+    return int("".join(reversed(bin(x)[2:].zfill(nBits - 1))), 2)
+
+
+class Poly:
+    def __init__(self, cs=None):
+        self.cs = (0,) * n if cs is None else tuple(cs)
+        assert len(self.cs) == n
+
+    def __add__(self, other):
+        return Poly((a + b) % q for a, b in zip(self.cs, other.cs))
+
+    def __neg__(self):
+        return Poly(q - a for a in self.cs)
+
+    def __sub__(self, other):
+        return self + -other
+
+    def __str__(self):
+        return f"Poly({self.cs}"
+
+    def __eq__(self, other):
+        return self.cs == other.cs
+
+    def NTT(self):
+        cs = list(self.cs)
+        layer = n // 2
+        zi = 0
+        while layer >= 2:
+            for offset in range(0, n - layer, 2 * layer):
+                zi += 1
+                z = pow(zeta, brv(zi), q)
+
+                for j in range(offset, offset + layer):
+                    t = (z * cs[j + layer]) % q
+                    cs[j + layer] = (cs[j] - t) % q
+                    cs[j] = (cs[j] + t) % q
+            layer //= 2
+        return Poly(cs)
+
+    def RefNTT(self):
+        # Slower, but simpler, version of the NTT.
+        cs = [0] * n
+        for i in range(0, n, 2):
+            for j in range(n // 2):
+                z = pow(zeta, (2 * brv(i // 2) + 1) * j, q)
+                cs[i] = (cs[i] + self.cs[2 * j] * z) % q
+                cs[i + 1] = (cs[i + 1] + self.cs[2 * j + 1] * z) % q
+        return Poly(cs)
+
+    def InvNTT(self):
+        cs = list(self.cs)
+        layer = 2
+        zi = n // 2
+        while layer < n:
+            for offset in range(0, n - layer, 2 * layer):
+                zi -= 1
+                z = pow(zeta, brv(zi), q)
+
+                for j in range(offset, offset + layer):
+                    t = (cs[j + layer] - cs[j]) % q
+                    cs[j] = (inv2 * (cs[j] + cs[j + layer])) % q
+                    cs[j + layer] = (inv2 * z * t) % q
+            layer *= 2
+        return Poly(cs)
+
+    def MulNTT(self, other):
+        """Computes self o other, the multiplication of self and other
+        in the NTT domain."""
+        cs = [None] * n
+        for i in range(0, n, 2):
+            a1 = self.cs[i]
+            a2 = self.cs[i + 1]
+            b1 = other.cs[i]
+            b2 = other.cs[i + 1]
+            z = pow(zeta, 2 * brv(i // 2) + 1, q)
+            cs[i] = (a1 * b1 + z * a2 * b2) % q
+            cs[i + 1] = (a2 * b1 + a1 * b2) % q
+        return Poly(cs)
+
+    def Compress(self, d):
+        return Poly(Compress(c, d) for c in self.cs)
+
+    def Decompress(self, d):
+        return Poly(Decompress(c, d) for c in self.cs)
+
+    def Encode(self, d):
+        return Encode(self.cs, d)
+
+
+def sampleUniform(stream):
+    cs = []
+    while True:
+        b = stream.read(3)
+        d1 = b[0] + 256 * (b[1] % 16)
+        d2 = (b[1] >> 4) + 16 * b[2]
+        assert d1 + 2**12 * d2 == b[0] + 2**8 * b[1] + 2**16 * b[2]
+        for d in [d1, d2]:
+            if d >= q:
+                continue
+            cs.append(d)
+            if len(cs) == n:
+                return Poly(cs)
+
+
+def CBD(a, eta):
+    assert len(a) == 64 * eta
+    b = WordsToBits(a, 8)
+    cs = []
+    for i in range(n):
+        cs.append((sum(b[:eta]) - sum(b[eta : 2 * eta])) % q)
+        b = b[2 * eta :]
+    return Poly(cs)
+
+
+def XOF(seed, j, i):
+    h = SHAKE128.new()
+    h.update(seed + bytes([j, i]))
+    return h
+
+
+def PRF1(seed, nonce):
+    assert len(seed) == 32
+    h = SHAKE256.new()
+    h.update(seed + bytes([nonce]))
+    return h
+
+
+def PRF2(seed, msg):
+    assert len(seed) == 32
+    h = SHAKE256.new()
+    h.update(seed + msg)
+    return h.read(32)
+
+
+def G(seed):
+    h = hashlib.sha3_512(seed).digest()
+    return h[:32], h[32:]
+
+
+def H(msg):
+    return hashlib.sha3_256(msg).digest()
+
+
+class Vec:
+    def __init__(self, ps):
+        self.ps = tuple(ps)
+
+    def NTT(self):
+        return Vec(p.NTT() for p in self.ps)
+
+    def InvNTT(self):
+        return Vec(p.InvNTT() for p in self.ps)
+
+    def DotNTT(self, other):
+        """Computes the dot product <self, other> in NTT domain."""
+        return sum((a.MulNTT(b) for a, b in zip(self.ps, other.ps)), Poly())
+
+    def __add__(self, other):
+        return Vec(a + b for a, b in zip(self.ps, other.ps))
+
+    def Compress(self, d):
+        return Vec(p.Compress(d) for p in self.ps)
+
+    def Decompress(self, d):
+        return Vec(p.Decompress(d) for p in self.ps)
+
+    def Encode(self, d):
+        return Encode(sum((p.cs for p in self.ps), ()), d)
+
+    def __eq__(self, other):
+        return self.ps == other.ps
+
+
+def EncodeVec(vec, w):
+    return Encode(sum([p.cs for p in vec.ps], ()), w)
+
+
+def DecodeVec(bs, k, w):
+    cs = Decode(bs, w)
+    return Vec(Poly(cs[n * i : n * (i + 1)]) for i in range(k))
+
+
+def DecodePoly(bs, w):
+    return Poly(Decode(bs, w))
+
+
+class Matrix:
+    def __init__(self, cs):
+        """Samples the matrix uniformly from seed rho"""
+        self.cs = tuple(tuple(row) for row in cs)
+
+    def MulNTT(self, vec):
+        """Computes matrix multiplication A*vec in the NTT domain."""
+        return Vec(Vec(row).DotNTT(vec) for row in self.cs)
+
+    def T(self):
+        """Returns transpose of matrix"""
+        k = len(self.cs)
+        return Matrix((self.cs[j][i] for j in range(k)) for i in range(k))
+
+
+def sampleMatrix(rho, k):
+    return Matrix([[sampleUniform(XOF(rho, j, i)) for j in range(k)] for i in range(k)])
+
+
+def sampleNoise(sigma, eta, offset, k):
+    return Vec(CBD(PRF1(sigma, i + offset).read(64 * eta), eta) for i in range(k))
+
+
+def constantTimeSelectOnEquality(a, b, ifEq, ifNeq):
+    # WARNING! In production code this must be done in a
+    # data-independent constant-time manner, which this implementation
+    # is not. In fact, many more lines of code in this
+    # file are not constant-time.
+    return ifEq if a == b else ifNeq
+
+
+def InnerKeyGen(seed, params):
+    assert len(seed) == 32
+    rho, sigma = G(seed)
+    A = sampleMatrix(rho, params.k)
+    s = sampleNoise(sigma, params.eta1, 0, params.k)
+    e = sampleNoise(sigma, params.eta1, params.k, params.k)
+    sHat = s.NTT()
+    eHat = e.NTT()
+    tHat = A.MulNTT(sHat) + eHat
+    pk = EncodeVec(tHat, 12) + rho
+    sk = EncodeVec(sHat, 12)
+    return (pk, sk)
+
+
+def InnerEnc(pk, msg, seed, params):
+    assert len(msg) == 32
+    tHat = DecodeVec(pk[:-32], params.k, 12)
+    rho = pk[-32:]
+    A = sampleMatrix(rho, params.k)
+    r = sampleNoise(seed, params.eta1, 0, params.k)
+    e1 = sampleNoise(seed, eta2, params.k, params.k)
+    e2 = sampleNoise(seed, eta2, 2 * params.k, 1).ps[0]
+    rHat = r.NTT()
+    u = A.T().MulNTT(rHat).InvNTT() + e1
+    m = Poly(Decode(msg, 1)).Decompress(1)
+    v = tHat.DotNTT(rHat).InvNTT() + e2 + m
+    c1 = u.Compress(params.du).Encode(params.du)
+    c2 = v.Compress(params.dv).Encode(params.dv)
+    return c1 + c2
+
+
+def InnerDec(sk, ct, params):
+    split = params.du * params.k * n // 8
+    c1, c2 = ct[:split], ct[split:]
+    u = DecodeVec(c1, params.k, params.du).Decompress(params.du)
+    v = DecodePoly(c2, params.dv).Decompress(params.dv)
+    sHat = DecodeVec(sk, params.k, 12)
+    return (v - sHat.DotNTT(u.NTT()).InvNTT()).Compress(1).Encode(1)
+
+
+def KeyGen(seed, params):
+    assert len(seed) == 64
+    z = seed[32:]
+    pk, sk2 = InnerKeyGen(seed[:32], params)
+    h = H(pk)
+    return (pk, sk2 + pk + h + z)
+
+
+def Enc(pk, seed, params):
+    assert len(seed) == 32
+
+    m = seed
+    K, r = G(m + H(pk))
+    ct = InnerEnc(pk, m, r, params)
+    return (ct, K)
+
+
+def Dec(sk, ct, params):
+    sk2 = sk[: 12 * params.k * n // 8]
+    pk = sk[12 * params.k * n // 8 : 24 * params.k * n // 8 + 32]
+    h = sk[24 * params.k * n // 8 + 32 : 24 * params.k * n // 8 + 64]
+    z = sk[24 * params.k * n // 8 + 64 : 24 * params.k * n // 8 + 96]
+    m2 = InnerDec(sk, ct, params)
+    K2, r2 = G(m2 + h)
+    ct2 = InnerEnc(pk, m2, r2, params)
+    return constantTimeSelectOnEquality(
+        ct2,
+        ct,
+        K2,  # if ct == ct2
+        PRF2(z, ct),  # if ct != ct2
+    )
diff --git a/kyber-crate-tests/kyber_kats/nistkats_1024.json b/kyber-crate-tests/kyber_kats/nistkats_1024.json
new file mode 100644
index 000000000..3d5739981
--- /dev/null
+++ b/kyber-crate-tests/kyber_kats/nistkats_1024.json
@@ -0,0 +1,802 @@
+[
+    {
+        "key_generation_seed": "7c9935a0b07694aa0c6d10e4db6b1add2fd81a25ccb148032dcd739936737f2d8626ed79d451140800e03b59b956f8210e556067407d13dc90fa9e8b872bfb8f",
+        "sha3_256_hash_of_public_key": "8a39e87d531f3527c207edcc1db7faddcf9628391879b335c707839a0db051a8",
+        "sha3_256_hash_of_secret_key": "ed1f6cb687c37931ea2aa80d9c956f277a9df532649661035c6e2f9872132638",
+        "encapsulation_seed": "147c03f7a5bebba406c8fae1874d7f13c80efe79a3a9a874cc09fe76f6997615",
+        "sha3_256_hash_of_ciphertext": "5ef5d180bf8d4493ef8e8ddc23c22e428840c362a05a25fd306c6c528bd90f8c",
+        "shared_secret": "63a1039074f01f2651213ad9350d6561cb03a60400e74118bb4464d87b9db205"
+    },
+    {
+        "key_generation_seed": "d60b93492a1d8c1c7ba6fc0b733137f3406cee8110a93f170e7a78658af326d9003271531cf27285b8721ed5cb46853043b346a66cba6cf765f1b0eaa40bf672",
+        "sha3_256_hash_of_public_key": "c9ede13be3dbb0edc3ab08226cae11771ff4c0b04a564b64a0d9ff10e373e986",
+        "sha3_256_hash_of_secret_key": "9b5876610793ae42f683d94f736d8d7e0e033bee588bab07a31c9cdb4ab99a5d",
+        "encapsulation_seed": "cde797df8ce67231f6c5d15811843e01eb2ab84c7490931240822adbddd72046",
+        "sha3_256_hash_of_ciphertext": "bef440cb5a14bfa652ff69fc431b59980147a2408df8a893f0fafded11d6cfa3",
+        "shared_secret": "856d56ee09279a13f9abdca14ecbe8ca9968495f09a0758b6d1c8376099365eb"
+    },
+    {
+        "key_generation_seed": "4b622de1350119c45a9f2e2ef3dc5df50a759d138cdfbd64c81cc7cc2f513345e82fcc97ca60ccb27bf6938c975658aeb8b4d37cffbde25d97e561f36c219ade",
+        "sha3_256_hash_of_public_key": "ff2546623aee72025fb6746fba736bae0e80e257e66edbf09d8d4dc11049cda4",
+        "sha3_256_hash_of_secret_key": "57155298b53d3af5d6db214dfa91a9e16f8d5de570bbff5dba5f4cd84098f255",
+        "encapsulation_seed": "f43f68fbd694f0a6d307297110ecd4739876489fdf07eb9b03364e2ed0ff96e9",
+        "sha3_256_hash_of_ciphertext": "28e308a6f91068b01a7065b8579fcb6234ecd9bb8d3172b6dfc5a3a470050ea7",
+        "shared_secret": "c33a4432cc441b7683605c29afdecc81922cf234e02be8c2fbc4e2a7a3b4b078"
+    },
+    {
+        "key_generation_seed": "050d58f9f757edc1e8180e3808b806f5bbb3586db3470b069826d1bb9a4efc2cde950541fd53a8a47aaa8cdfe80d928262a5ef7f8129ec3ef92f78d7cc32ef60",
+        "sha3_256_hash_of_public_key": "25b786a67de17d61b2fc0e85a13924398aab931896b6174089569f08b7260687",
+        "sha3_256_hash_of_secret_key": "d188a2637dfe80dbd0fc25165eb4898923888a82c10f6ff0b8ddb5bf251c0650",
+        "encapsulation_seed": "ea74fbc3c546500ed684bed6fe3c496d3b86d2d6dfaf223969b942e9a8c95e85",
+        "sha3_256_hash_of_ciphertext": "8427a1684769e63ec43e97ecbe7b7e654b6e63433bccd23340849904e02767dd",
+        "shared_secret": "7c14fb353ba421705de44f2a12ddc5ad9b11e30e7b0e163cebebe2da79a7293f"
+    },
+    {
+        "key_generation_seed": "66b79b844e0c2adad694e0478661ac46fe6b6001f6a71ff8e2f034b1fd8833d3be2d3c64d38269a1ee8660b9a2beaeb9f5ac022e8f0a357feebfd13b06813854",
+        "sha3_256_hash_of_public_key": "d35e259a200d16048302df38d8e7f9e1c3352502c43f086fe166325048fdce9c",
+        "sha3_256_hash_of_secret_key": "020ba30e5832867a6db83cdb1e60ddf0b0a88fb33919edb84b246a345d11da6c",
+        "encapsulation_seed": "64efa87a12cb96f98b9b81a7e5128a959c74e5332aaab0444fca7b4a5e5e0216",
+        "sha3_256_hash_of_ciphertext": "b52dc0a41015132b3e7a1ae6f544f12601869bf0673625964e5c4e05cbe656e0",
+        "shared_secret": "35d2a2ab0e91d365a3e2e99bbe3f5121f2eeb528305cc7730f679e10ec1c9b8a"
+    },
+    {
+        "key_generation_seed": "7ec408f52c9aa723d0c41d9987682a5f4ce6c9da7cd0215af60bbaf5484ab353a08ccf451b049fd51d7a9ad77ae14a81569df8c9bd3a8f1ebea86fdcfb823082",
+        "sha3_256_hash_of_public_key": "5a5db7d619be642bd87294527b3f859372b279a1e6074824d9632b5d7f616e42",
+        "sha3_256_hash_of_secret_key": "630f093cb1ff96bff76ede70e970a009a9e5d28fed660e68127d31c3b6dbdb2a",
+        "encapsulation_seed": "8a95d71228acaa5f9ae6f9d9ca8ae55fde296463b41083a39e833e37c4c90f88",
+        "sha3_256_hash_of_ciphertext": "4714a5497351399718258f490da0ce28ce8211aad6975546cb4351c8ebe61917",
+        "shared_secret": "8084cfff3d54b7680e737ed71c37e449f1f9d74bf6735696c46910b13d42d1f1"
+    },
+    {
+        "key_generation_seed": "c121915bfef6abdfc177dae2f5a24218f9abda2559afc6741b08e0e61ab433eb84ef52db5eaa6df8ec3a0bc5ffa730db0dde8c5f38f266d5c680a78d264a7b96",
+        "sha3_256_hash_of_public_key": "f0d1acd4fe1bd3bad938c23ec5a7f320766e01005e32769724abb4ebac578def",
+        "sha3_256_hash_of_secret_key": "664f3632f56ebc5c509931ff3b7e1845265e42a76e20550b683527d7d24e8df8",
+        "encapsulation_seed": "90d79d75d0bbb8921cf70d46bab497022a8e750efdc99e5f1bae653275441c7b",
+        "sha3_256_hash_of_ciphertext": "4ebd3e44b82b03c01ec2aa9e8805e53b8c8022e987fc9eca59c9a5cfcb1c4a84",
+        "shared_secret": "3e94b68a80291e957f9dd0a15b112ad75bfa07951ccb36c2de610e6755a4a0d6"
+    },
+    {
+        "key_generation_seed": "d86634ecf96cc2603761e284c0e36734cedec64e7ff486469e38539c71141c5a99daf37400cfe59841afc412ec97f2929dc84a6f3c36f378ee84ce3e46cd1209",
+        "sha3_256_hash_of_public_key": "7008db565f7ab9c362dc38dcd3e30e5da873c559e9a9222710e8d2e7f6417ce6",
+        "sha3_256_hash_of_secret_key": "9e774cb57c18575de3ec6a9677e40626c2026e47c389c7a3dc5422d8a83b747b",
+        "encapsulation_seed": "be8a32f97b9a8d596382c02fa2a0eeebc15c083e970ddaa4f2622b91d6718663",
+        "sha3_256_hash_of_ciphertext": "1cb3879c49c65c184d605bc6daa22f63affd2a005e145103e6c1ac1ad683d976",
+        "shared_secret": "900649130f9c28082eab5ce3d128593eeaae89667d7fa4da23fcdfc1573995fa"
+    },
+    {
+        "key_generation_seed": "0610678ff4dc3128e1619f915dc192c220f8fad94da1943b90aaec401683a492da1804ddb5aa9b1c6a47a98f8505a49bae2affde5fe75e69e828e546a6771004",
+        "sha3_256_hash_of_public_key": "143b9c53320cdb1b7e8d71efd1f0a1ad5ad1e1ce84dd9fe7c92f19c926388e3c",
+        "sha3_256_hash_of_secret_key": "63707e33c30114732374ac21fd5be61e6dfa7dd85a36eef2e2bae6b3d0599a71",
+        "encapsulation_seed": "da2cfaf69e25b2a89ff2557bbb6f69e01d8e2e7bb27a7a1ce7e40fead16f33b2",
+        "sha3_256_hash_of_ciphertext": "780162548f2d85c00f0276f1db2d6566421cf718679147740d279660fb742544",
+        "shared_secret": "084aafffcc38ac80dfc02548df07f6e7809eb0644385abce0fc569821a907011"
+    },
+    {
+        "key_generation_seed": "d322d56d8ef067ba1f24c92492b9c56df3a6ef54a304adc1b69913766a1ce69756047447b810cc094d400ab204cf9ae71e3afa68b88586ecb6498c68ac0e51b9",
+        "sha3_256_hash_of_public_key": "f2d009cde4abd55a2c7417c9341792e60eaa8e26b53a3aae805746401c4c446f",
+        "sha3_256_hash_of_secret_key": "2a53faa8053fa21b7b07a96ea259c052ef78746c5d53e2857e9f30bd20d3f2b6",
+        "encapsulation_seed": "511c2ab40782322c06111e144e505328c4e5bfc890a5980a2bbc44aeda4c738b",
+        "sha3_256_hash_of_ciphertext": "9b7ead45e0e00c615fce96105720d82ba431692f92e1a73e14b490219c8dda2b",
+        "shared_secret": "a7fd777a337219e1d0ad2cdb47fa18f4685ac343bc537dba6c97326340ab3ebb"
+    },
+    {
+        "key_generation_seed": "2f1d8a3bebb34540324b9485fdf3d5be3b858f544abc3fc641b5728cafab03ba8d6c42e7270ee2b77b6045385f3d175984a0e260363166c73b0c70c971644363",
+        "sha3_256_hash_of_public_key": "1f06190bdfd692cf499be99bacc4beccf048c89926769f1b254cca9a9a44089a",
+        "sha3_256_hash_of_secret_key": "faa641eaff01077bd2fc261ccb91d5c3b468a940e25e8d5d794d564b663315c3",
+        "encapsulation_seed": "dca92dbec9b260dd97e8886f876862d6effc3b91fcf3fbc986cf56ab93ae79a2",
+        "sha3_256_hash_of_ciphertext": "3a22350624e9ffcfeaf0a68c265dc03036e7d5bdbb102474fd2aed257fce04ed",
+        "shared_secret": "17672805d3953f1f374dc8671137dabb0136de43700fea82a2ca23292bd0d562"
+    },
+    {
+        "key_generation_seed": "31beda3462627f601cbc56f3ddf4424e1529c04737ef0ef2af6d7401f653b8a1812083bfa3b670e3eaf9b443702fb6db16ac1197656bbd61a8e25ed523b8d1e5",
+        "sha3_256_hash_of_public_key": "cc20155074cd7cbd43ec2380dc6a71b3a88c9a4bf168ab2bf426a899706fa597",
+        "sha3_256_hash_of_secret_key": "6084f1eb2fe4b9055d6004bfccadad7bd64f623595dd0b5e0c0100d647313279",
+        "encapsulation_seed": "57c170e691d7a914a901b9a11c62b8b569b3806427557a9dbac9faa720ec3641",
+        "sha3_256_hash_of_ciphertext": "43291afa9c1a8098770d5ed9dd4cd71688c52d616e9e68798f8718e4555e0caa",
+        "shared_secret": "8813fdb7bcec5369e6238322be653d920ba26e0aa63a3c3b4e4218c48c1d6dfb"
+    },
+    {
+        "key_generation_seed": "cbdff028766d558af4466ef14043a1a9cf765f7748c63cc09dceb59ab39a4e4d8e9a30597e4b52ffa87a54b83c91d12a5e9c2cd90fcac2c11b3a348240411a4c",
+        "sha3_256_hash_of_public_key": "77fbe004761fc37fe7597638e5dae8b44bd44c8d6efa2893a0a84b104ace6ac4",
+        "sha3_256_hash_of_secret_key": "608099f3fa437094212b3aa2696d592a9ba45f697b9c1020b69ec1d6e178b76c",
+        "encapsulation_seed": "6b5a14e1473abf5a33d44975ca2088bd8fa6fddcb3f80e8fd5c45b9d90c24a5c",
+        "sha3_256_hash_of_ciphertext": "368fcbdfa009642b3ca8fe0261d10d18db5566bc43938e193d9dae45adf2d41e",
+        "shared_secret": "b00167b499d5130ef82a91f83d1f1563185de735e74f89afea0b45ae1b90cea8"
+    },
+    {
+        "key_generation_seed": "4c04310bea66305c6ca8ba6b8f61ca96257a67663afc11761f13fb5c7b324b6b8aec87a9a79204cee2986867a2906eb851b734b8b22b91d6749b1a5f07c44e3b",
+        "sha3_256_hash_of_public_key": "49cbe8daa7dac02d7795e907b037e2ae56624fdc8d7c6320f9e1e69dd0f6286f",
+        "sha3_256_hash_of_secret_key": "de7838a99458b56d0f1de343315d1a7d460269ded85551f70335b1e002742b5f",
+        "encapsulation_seed": "40e593754e6eddb7f9cf176ba2d5fd1087c90ad377556d0b0f686537b1a3165e",
+        "sha3_256_hash_of_ciphertext": "04c5a66da97cec8a22bca38de71927b176310004175b3496c5a2737e91b18e00",
+        "shared_secret": "c55179382eb5d4bbd91e45f4b3dcc5d1022110aa209c002600fe0d55a5b3333d"
+    },
+    {
+        "key_generation_seed": "38a0d5f41d7dc1896efd1b45b0485634cef149828751b96087a0a6dd81b4d58aa2acf359556df4a2abaeb9dcee945829beb71185b4d6bd18b76e5668f253383a",
+        "sha3_256_hash_of_public_key": "a333d474be9bacbea4c301148be2ddf13c3c25d7e4f52447a549a27b6d12710d",
+        "sha3_256_hash_of_secret_key": "731e7c1597fcea477249114301154b9fda1050e71617827da0c9cc149c1cb99b",
+        "encapsulation_seed": "c152523abd8248bed40c3827bcf0f8e8127037a55c780695e2c28ea3e041a44c",
+        "sha3_256_hash_of_ciphertext": "841415e768ab08549533578cdb506a9f72e8d01b472b64746322328c0c035080",
+        "shared_secret": "91c0a23c78351e8f8de8e38c5a10e41e5290ef96266f93839169c05842820e41"
+    },
+    {
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+        "shared_secret": "13f3b79bb1e5d20ed95c7165a610e122b5de6cb02444cc66e0f1f9ec44c27485"
+    },
+    {
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+    },
+    {
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+        "shared_secret": "3f8cf35d0ba76d75dec611e5fb059db5197862b7e5cc6b116a730734932441f3"
+    },
+    {
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+        "sha3_256_hash_of_ciphertext": "62de1efed6f92fc50d8fdef1ff217cb04faf53196e5af3a7507cb6ea5f822e2d",
+        "shared_secret": "d48544c1ac452c0b821e080e02c9c83e95252fb033617ce270f58e2974679fc6"
+    },
+    {
+        "key_generation_seed": "9d405d3ebdaf35fa8722de431b669722acaaea2fd10b814310b17f78b66147d16ceb14f7662be0c42779459f69a145c0e2ce9f0bd9a0cd1bf32ed5694cc9ae32",
+        "sha3_256_hash_of_public_key": "9499c1b006a0ec2c299c41c3f728c3bb7848957fb2bbbcd05b65233b89a2b1b1",
+        "sha3_256_hash_of_secret_key": "bdf5c3beb39ae62a6e29e858962c322fe525a307a163d68f765779b7848bec3f",
+        "encapsulation_seed": "a7a31e140891ea37d2b6424b59b1f84f89220f32dcb73e037eb912b389d34a48",
+        "sha3_256_hash_of_ciphertext": "3a0a1742b1e27f14001e3457a00748f232f550687a232fa409c2098f97e72bb5",
+        "shared_secret": "6b8f4cbb3c4fda3c067d7ba48bf24e24258ca7e26bfaf918b784d01ae74ec57c"
+    },
+    {
+        "key_generation_seed": "9a86490f0615f3edf789cb0654066e9ee339cc59f968281f3b89213f83c692edfaeb2ef44d2f608621e831187ce79b2d2f4a20f1568bbe76b0d3d5af36111714",
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+        "sha3_256_hash_of_secret_key": "155cff081ef58459a00ae63a6ee0ed2698bdbd99c67b4c9dd09f8b0fc3de0120",
+        "encapsulation_seed": "70eb3f791faa91f1f982fa477dbcddeb2c55691c07f93b04cd31b37544c94b42",
+        "sha3_256_hash_of_ciphertext": "8753aea7979a0d3f7aa35b9fab1b320d1b0965899bd51bfc8c1f6de79ff7d92f",
+        "shared_secret": "aa9878a81dd8165350b880c4af6a2adb9e50a48b9e0709f069c02184d3785181"
+    },
+    {
+        "key_generation_seed": "6dfd9b575872560c7bdc2732c4a28dac4db04e535eb8e402c3dffd145c09ce47a2985c1c4d203778597947d710dec806e36b0cd949fe460ef141213bfc525e5b",
+        "sha3_256_hash_of_public_key": "e0013ff7eb7b8266ee94659f3372f5981ce1d87584cb1f0e80da2c0c95c16b4e",
+        "sha3_256_hash_of_secret_key": "7eece78f3f97759d0cfc8a69481271a425c56e540704b2fdaab8b2d920d19e21",
+        "encapsulation_seed": "30f4095015ba88b6d969672ca3f438c395dacf7d476ea7a9e805ce932d270a13",
+        "sha3_256_hash_of_ciphertext": "777253af58f65c8a85f3feca46f8d32eb5d3d5d0664ea59cfdf47b89be9f005d",
+        "shared_secret": "5a23296c84df3d660e7c2a973c4e6bddad3fd814e158028ff92b234cffb1afa4"
+    },
+    {
+        "key_generation_seed": "6fca9f4e384d8418075cc064c70730801bdb8249899d456a77130d5beeb3662cce7683f8a03d3cf04e46970ff7d6a12494ae12558346dfc8fd9370bf944a0102",
+        "sha3_256_hash_of_public_key": "b503f8ec36d39fc7b4b8ada1cbb933b9db9ee118bf081ed75dd5dba7590f6c8c",
+        "sha3_256_hash_of_secret_key": "65d28565658fe991b77136b89255ec2d1cf65368e06f2b30bcedab87ffe39550",
+        "encapsulation_seed": "cf31220f44de862e1719570e1b26e897790159366a385452334fe24cdcae28ba",
+        "sha3_256_hash_of_ciphertext": "a7302707d52fc49f3e3637a742826bc8c8267e89c1fdf95b2ab7a0d8f1003c8f",
+        "shared_secret": "d790ec546719fb05125841bda9dd361e162ca4241e2b489a0f948b612309b649"
+    },
+    {
+        "key_generation_seed": "e58f71bf175c0550a67e00e0f7b3b7fc36bc2707bf0c93044a492626de36301a7f7054814869cf7625e45647bc1547aff288dbb90699b2ad84893f3b755d9722",
+        "sha3_256_hash_of_public_key": "03341657b159925cedc8967872a45a3c1f0122979af87a878a2019b3f17c8ba6",
+        "sha3_256_hash_of_secret_key": "6bb236b9c7a818f9edec1e5da339755dcb7ca1b663a5a208c38c75e7ad7dc12d",
+        "encapsulation_seed": "bb5e65669a44e5d5c709bafa98c16ccba6ac2c4ae923334f69a11543eda64f5d",
+        "sha3_256_hash_of_ciphertext": "9a9301ca946909c3ee5d2171bc36322179ab4bfa825ffc0b826517accbc78298",
+        "shared_secret": "10086d1a59c41f84a089c239fcd8f8eea3b22c7796f9c1f9b1867b709cb77704"
+    },
+    {
+        "key_generation_seed": "e3fc575ed51513e62aba655d24cd9c8f1c6c848aaffa946c49a53ac3ea59e474d82c2f1bf2e6aebde5660fa73356982e12999d8fdafbb3cb186341d0386dead0",
+        "sha3_256_hash_of_public_key": "60c001172c4734a620c248654c58f1c10135657083de776116a6acf8a55f3610",
+        "sha3_256_hash_of_secret_key": "b10663e90392d6387c16dcad565bbe1fbc05f32495cf9878706bd0d61d289147",
+        "encapsulation_seed": "9ddb3aa9c7905d1a438c93bcf78e3e321813580371ab4e1289e2dbf3701972c2",
+        "sha3_256_hash_of_ciphertext": "e4b3ce9e19c204a884f8a5adbe41acca97a22f1f5f2a13f1185021a8a36a131f",
+        "shared_secret": "82ad68065774eabcd6e78c027286ca7c7120987c4984e56f52abeb1ccc7a273b"
+    },
+    {
+        "key_generation_seed": "470b4943f0fe7fd0d8ec5185aba0d1db09d112934e4fb4787e2bbc6b88466e7b8b2809fd40008be70a6b184981101724bc3d5ec5e1956b510b82fd5ad0668a5a",
+        "sha3_256_hash_of_public_key": "647a136f20b22c63afd2b88d14fe7677cf5c2b78223a587068377021f6edfe9b",
+        "sha3_256_hash_of_secret_key": "e70be83a7585618e7b91bc9930a581625e2441962c823a27eda9f6dfff8528ee",
+        "encapsulation_seed": "26d90b190a6c3d0d9a86cf66005154e7086749e966e7187c249ccb9329fd3b8b",
+        "sha3_256_hash_of_ciphertext": "6287ca7c4d1eb3afb6ecfc456a4ca9ef5776177dbd5115165424c66e2db061d8",
+        "shared_secret": "2d56c88020d399532bada6516f9a1acc28a565cf252bafd40043879bcd6de1cd"
+    },
+    {
+        "key_generation_seed": "6df4385db978d27b27d2aa5e452e4152b36f097503d9581ac3390105c5727e7dc95fa08ed106ce84660e8a4c90bd2b22634e40769aa0090a101c5dddad45edc5",
+        "sha3_256_hash_of_public_key": "1cde599b2dfc69d59036434cc0423337513fb9506452bd8f42bb82661ad0065a",
+        "sha3_256_hash_of_secret_key": "aa80a266176a7ef8fb22fe21fcf3d3762cfc36734d8b6db3c6e1d4df1eecc1a3",
+        "encapsulation_seed": "7db6d1a129d6123f1f805b79ad3b413012ea86aed42a05e98e7b1f32f9fbbdec",
+        "sha3_256_hash_of_ciphertext": "31c85544389bc3163e6893d9298d947a6cd189b045eadf8dcc265e4b5c750fcf",
+        "shared_secret": "44052d0cc62801e0d9717c65ddcb560246cd901f104b4252eeaef903f7c26af2"
+    },
+    {
+        "key_generation_seed": "dbacba825728444921b227cdba54446b3f6881b47be9cd02832f78b023b1bee0e15274a8e2bc08fe818b117ba28c5dfae74d54fcdf6f20052f79be333edc8dde",
+        "sha3_256_hash_of_public_key": "2a50c7a070b3dc7e107eb1e8b96d62305c13327d729bf9d97c69f1fe6eed2b52",
+        "sha3_256_hash_of_secret_key": "6df052019662b83b16b4da0a85b17f2fe56ad269b294438c8ad298d2e2269d2f",
+        "encapsulation_seed": "1d129b27be7384c359d04311fe5c44917d1fde4bfb57314f483ac617edd5ac49",
+        "sha3_256_hash_of_ciphertext": "c485c6e392c29c231c9eb04861fefff1fc27544443ebb316c74f9d4d7d9be68c",
+        "shared_secret": "2e95f47543ff640e6384d65cede004c4fc47e9e2f05649e694c18c7faf975987"
+    },
+    {
+        "key_generation_seed": "690eb71fd7052b906eaec09937a8ed374e0b02afa27c2f14399932be5839fad281c38c2cb5cfafac81b96a810ab749b61806b6d54c9f8cf4bf1be0192423288f",
+        "sha3_256_hash_of_public_key": "5f166082ad3ab0c739cbf0a6bbe2707741d9b5f53a0e16199280a2376c9e5a17",
+        "sha3_256_hash_of_secret_key": "391b71e679b9a0a23a1aeba042ec7df439fa0a18c6442dbfe2bbe05d4fdb5fd6",
+        "encapsulation_seed": "bbc773ebd2df42c36ae05952d6a64c63a5dfb82ceb3ef4f8d4df3a30ec8c0467",
+        "sha3_256_hash_of_ciphertext": "499c37f74e94c6c724e218f339b8d60ab65190e0a56e39a6b4cf619db98bb57d",
+        "shared_secret": "42f1442e384b4e747794c944f4df154cde33cdff32bf35c2c5234919762030ca"
+    },
+    {
+        "key_generation_seed": "32e0ea9089fa928482c0770da545af1bb871a03ce38604138b0d08ea2a10ca2bc06c5bef7b6508409daf847a64c8d30d0974fd3ba7476dc76c46b458a036d884",
+        "sha3_256_hash_of_public_key": "40b3a72c164432e6ca838693ef25b30013e5cf56c1e6142828107a10cabdd169",
+        "sha3_256_hash_of_secret_key": "6f970259ae97422f8698120bfa8e53f4f89589773243db6e7a1859c94181a3f6",
+        "encapsulation_seed": "5b17a6adad541efcbf5ae4b0c0452cd2ce32e4f0f8701801c5b63e197c1fcbf4",
+        "sha3_256_hash_of_ciphertext": "55e508c96b8b7c06cc9a88b4c9f974abd3e2cdd96ba6f0cf330ccaa3641fbd29",
+        "shared_secret": "a50a07f6b01ee4429848806031637c8ef8da23f253874124452e3771ef98b6e0"
+    },
+    {
+        "key_generation_seed": "6fb2ec719f2a0dea152bf3f64b9d148f8ab8ba88f64e61f5db53e12d59f525574f797c007e4061f95c7d56cfc7ee5c49e849dde3fea8f25e7876df2a18515c34",
+        "sha3_256_hash_of_public_key": "f475da2ec982c47d91b24bb5ec6c51910530eec26f38541b173b38927d23c568",
+        "sha3_256_hash_of_secret_key": "f8c836ce8a42d6d07f1ff40e2dbf16d264bb6ecd1cc0227ebf792a6bacd327ec",
+        "encapsulation_seed": "61ab87659525de9656af41246f20e1dbe85c24e335e7ecf9493f46168bc14e94",
+        "sha3_256_hash_of_ciphertext": "d63a88547104683878df29e59de826821fa3a95bdd668e5e838e08a671d887ee",
+        "shared_secret": "c299f650b03170f5cdef5da81e52c2a094b11aaf58426e8c41e06a26c7d5ccc1"
+    },
+    {
+        "key_generation_seed": "527fb88c8bd9a4d6031dad15e63878abd2b559e7e08d61f69e8e78fca964ee6ae32d432b4f9f751bde0496c580a181ffed762aa35454a02d3f1f47ee0394c89c",
+        "sha3_256_hash_of_public_key": "2b22f73a770cbdb80da84f97f27a14c5df5b3372d52503d3a20c3cb2bea8b404",
+        "sha3_256_hash_of_secret_key": "a111bb1797a3baeecc223e4fc4accf093d2e069cfd40d45346d2aefc09acb358",
+        "encapsulation_seed": "eca2adc3da1fb15f34033405ec08ef2f46163df4bfcccf8842c600ce0bc2026c",
+        "sha3_256_hash_of_ciphertext": "e9c030db90931ef3d2a61077dc33529aad87535e809d1a255fb5b5925f202893",
+        "shared_secret": "5e1ac468279cfe354c4d0df6ead070071b19c9707338158ff7dc133684afe2ba"
+    },
+    {
+        "key_generation_seed": "ac6fcfaeeef795b6ef9e062f02bf42975fa01e7d91ba832f74e05269a72684d05aeda108ea4d6c6bc0fb958286850422bc357ca67b83c986048e0d0087fa11ec",
+        "sha3_256_hash_of_public_key": "3d8fe8354d81146fd65af657da08926bd3a6ecbc2f81cb58d1aaacfe5b6e686f",
+        "sha3_256_hash_of_secret_key": "d1c524a715b2d05abc8e8729204b620f4551815cdeb00662b487d58e99c0ac7e",
+        "encapsulation_seed": "c4f15bec2d7701339d0ade4835193bea3632edcf89e74992620d9eb623a0d0d4",
+        "sha3_256_hash_of_ciphertext": "c256150127c8119ae42a62b90ac9a7119a3faa5442f058bbe5844d29c99c4eee",
+        "shared_secret": "7841501410e4158cf04f92b9d65d0cec732984ea66809130aeb594156829dd39"
+    },
+    {
+        "key_generation_seed": "ba2fb9318d4dbe7488057c33e95e6f054583a2800c41bb83083c330a914a12cfe63f8ffda3565c2424c89b20974b748a65a5aba75133fcb3156dfb6626a83bab",
+        "sha3_256_hash_of_public_key": "36fc15e2340175a2a64ca1cf31a4b38ed5f797aaa8acb0c3d2ed9c19c7099f27",
+        "sha3_256_hash_of_secret_key": "0741ce5533316ef689bd966721b1ee57a272d5eb557dfa6fab6de770a2e7afa0",
+        "encapsulation_seed": "28878249e2ac2b6263422993923a0c8bd05ce56e385ed13c943b03d226856947",
+        "sha3_256_hash_of_ciphertext": "0c6a7cce80da6e6a3c17b46959124b8c26a8a74b5068f707f582cb5b811e282e",
+        "shared_secret": "6b3fe0dd082bf384c3e08497d380516e78ca778de627c112d02dc8c393334d11"
+    },
+    {
+        "key_generation_seed": "aa6dd1e5799cdf7af9c4fc632b3eb9d51d66e85c8e0a21ec98664fc51ab63c7dfda268813efab5204efa60f78bf81d320d01ac09ac06244f7afbd2d80fd356d9",
+        "sha3_256_hash_of_public_key": "26a1b77ae8a807e9de16a9ede5da5aec3ca5f23f5ea00e455d4a091467e6ac6d",
+        "sha3_256_hash_of_secret_key": "2bb0f5318208eba32bfba206dfe174f976431dc12421bc7b3705fc7c0b4a06cd",
+        "encapsulation_seed": "17fc65f7fbd7c75ceec421dee84dff5a8cb22764a182db17e0ebe857f54d60eb",
+        "sha3_256_hash_of_ciphertext": "ba2e94ce526ee4bdcd818855708af8173acac373696df4f910720fb296bc1076",
+        "shared_secret": "cb15c306ba8d5f4f8b723db93bfbcfd4fa02ef32ed8e39c2aeb706a463d9a40f"
+    },
+    {
+        "key_generation_seed": "195d6c86a3df4c21e3007d7f2768b43c74cb3060e0eca77f0a5d3271542b9a84ae77e0f9f21eabd8c0c6eea7767f4e10fde5c2d79b8400bf96b19014b457ec21",
+        "sha3_256_hash_of_public_key": "2460170e6cf1da1e7b92037f51b4e7674d9abf74f5c225c5c6ce16a971691284",
+        "sha3_256_hash_of_secret_key": "a364a1f435a2d2a341b59a1886af0d0f3580e56306869bbab819de741ac9f642",
+        "encapsulation_seed": "fa0489f3730100609488e951e6aaa15c0f193bc1dbcfcd013bc418d6c507b176",
+        "sha3_256_hash_of_ciphertext": "ff21fac2cb15307ebb70ec04904f636bfac9ba968e86984b4a55dcac70430c1e",
+        "shared_secret": "8dc8bc55a907bcbad27aafbba2cbd957c30794e3770d0984a6323b641e5fe53d"
+    }
+]
\ No newline at end of file
diff --git a/kyber-crate-tests/kyber_kats/nistkats_512.json b/kyber-crate-tests/kyber_kats/nistkats_512.json
new file mode 100644
index 000000000..6a3125287
--- /dev/null
+++ b/kyber-crate-tests/kyber_kats/nistkats_512.json
@@ -0,0 +1,802 @@
+[
+    {
+        "key_generation_seed": "7c9935a0b07694aa0c6d10e4db6b1add2fd81a25ccb148032dcd739936737f2d8626ed79d451140800e03b59b956f8210e556067407d13dc90fa9e8b872bfb8f",
+        "sha3_256_hash_of_public_key": "7ffad1bc8af73b7e874956b81c2a2ef0bfabe8dc93d77b2fbc9e0c64efa01e84",
+        "sha3_256_hash_of_secret_key": "26e1b5ea0f48b3c87d7ce87113b6a93a49d9f7ede7c5cb15b41382bd3243715a",
+        "encapsulation_seed": "147c03f7a5bebba406c8fae1874d7f13c80efe79a3a9a874cc09fe76f6997615",
+        "sha3_256_hash_of_ciphertext": "a3856ee9fb112b154b397c91398576dda45391b89742603436588d81ce6d1b50",
+        "shared_secret": "c608777086ed9ffdf92cd4f1c999aedd0b42e5e8ef6732f4111246481e260463"
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+        "sha3_256_hash_of_public_key": "27ea5a76294070ab10a6edc502d82be3d240672e5fa61377e73e5e19d11f64a3",
+        "sha3_256_hash_of_secret_key": "33161a2b269ff022ff4699b05ac7fac1374d733e46800447164d3e528ff89dc4",
+        "encapsulation_seed": "bb5e65669a44e5d5c709bafa98c16ccba6ac2c4ae923334f69a11543eda64f5d",
+        "sha3_256_hash_of_ciphertext": "8995a8a9b59bd5adbe1fa10cc20da5348737cce9088be7eb0ba1f6215d68b9a9",
+        "shared_secret": "e3f13c77fa9eb329c218e1bd5823d6e07249fa1b455770ae57b2a00aa8c69c5d"
+    },
+    {
+        "key_generation_seed": "e3fc575ed51513e62aba655d24cd9c8f1c6c848aaffa946c49a53ac3ea59e474d82c2f1bf2e6aebde5660fa73356982e12999d8fdafbb3cb186341d0386dead0",
+        "sha3_256_hash_of_public_key": "9898462f05bea461adb40faacdfdde363c06f58bc756f0a8417df63a66d3a544",
+        "sha3_256_hash_of_secret_key": "e10192b72796b2da465303c0bbe16f1e23e08f9680ba92fc22d568ac84352113",
+        "encapsulation_seed": "9ddb3aa9c7905d1a438c93bcf78e3e321813580371ab4e1289e2dbf3701972c2",
+        "sha3_256_hash_of_ciphertext": "573aa757ef6fa5110ba7b948c325718f87c6bc9ccd596debff4e6c7dac1fa8f5",
+        "shared_secret": "a8498502e012b5cd006e77fcbb9fab801dc3748a0da37587dcd41310fa945e09"
+    },
+    {
+        "key_generation_seed": "470b4943f0fe7fd0d8ec5185aba0d1db09d112934e4fb4787e2bbc6b88466e7b8b2809fd40008be70a6b184981101724bc3d5ec5e1956b510b82fd5ad0668a5a",
+        "sha3_256_hash_of_public_key": "a24e6203d9b1aa5cd06c44f048da7225e33952617f12b4289494b3969857c2ff",
+        "sha3_256_hash_of_secret_key": "61f1e3b3a9ce59d25480d88dac106cebc81272c0c9449c9b22048f67419d940a",
+        "encapsulation_seed": "26d90b190a6c3d0d9a86cf66005154e7086749e966e7187c249ccb9329fd3b8b",
+        "sha3_256_hash_of_ciphertext": "7f92312ab16635c5e90a6d41ac65e594e37754359331b0814e09da9c7eb945e7",
+        "shared_secret": "780b2d0ea585a6ea41dcf43197b9ca4648454e30a3057f0d47f6e79a2bbc365e"
+    },
+    {
+        "key_generation_seed": "6df4385db978d27b27d2aa5e452e4152b36f097503d9581ac3390105c5727e7dc95fa08ed106ce84660e8a4c90bd2b22634e40769aa0090a101c5dddad45edc5",
+        "sha3_256_hash_of_public_key": "cb2e9159ab5225a75d02268af2dac89a0afb33fe83a45f552e2bf542868c0683",
+        "sha3_256_hash_of_secret_key": "d2ce7cdfbe3ac715b2c87b1231fe46d5385a77caab367570a955bb562d23183c",
+        "encapsulation_seed": "7db6d1a129d6123f1f805b79ad3b413012ea86aed42a05e98e7b1f32f9fbbdec",
+        "sha3_256_hash_of_ciphertext": "1113b9a38ec4629ad20ecb594b64ba242a5a4db7bdf32914f9eb34ecc76c4a1c",
+        "shared_secret": "7832b351d71984cb60e6e548e5b4edeedf9749f8b3bc96fd208b6bb557251de8"
+    },
+    {
+        "key_generation_seed": "dbacba825728444921b227cdba54446b3f6881b47be9cd02832f78b023b1bee0e15274a8e2bc08fe818b117ba28c5dfae74d54fcdf6f20052f79be333edc8dde",
+        "sha3_256_hash_of_public_key": "7f8d36076b3a8aa13b633650726f7e907806a0573402ef3af129f611def1a813",
+        "sha3_256_hash_of_secret_key": "0b38e04daf35259696487ffaad947f481756bc3e94dd1a73b81bf8a6da4a43c3",
+        "encapsulation_seed": "1d129b27be7384c359d04311fe5c44917d1fde4bfb57314f483ac617edd5ac49",
+        "sha3_256_hash_of_ciphertext": "eefa4d255cbd39fb5686d14a6a574d4c75c6b138a45a09cec12287c281cc00e8",
+        "shared_secret": "468ee020867cb766cd0a9ce1bfe9e7dbb56ae66c131a4540f211837c1779e11f"
+    },
+    {
+        "key_generation_seed": "690eb71fd7052b906eaec09937a8ed374e0b02afa27c2f14399932be5839fad281c38c2cb5cfafac81b96a810ab749b61806b6d54c9f8cf4bf1be0192423288f",
+        "sha3_256_hash_of_public_key": "ff2044ee6a3bfd4f7033dc4bbd6283b534cd3fbbf1c4af072fea1ba37d3262d5",
+        "sha3_256_hash_of_secret_key": "ed62dbd78c007d385c786f2607715a69a44804c4e88111861d175875bc0b09ee",
+        "encapsulation_seed": "bbc773ebd2df42c36ae05952d6a64c63a5dfb82ceb3ef4f8d4df3a30ec8c0467",
+        "sha3_256_hash_of_ciphertext": "d16b23897beae9fb1a6ca746d3c15ef52c8ac454cd518d5a90a561cb588a0260",
+        "shared_secret": "f04a17a3737285f2257a6374a0057776ea24bd731724851d12ac2e06e959fa26"
+    },
+    {
+        "key_generation_seed": "32e0ea9089fa928482c0770da545af1bb871a03ce38604138b0d08ea2a10ca2bc06c5bef7b6508409daf847a64c8d30d0974fd3ba7476dc76c46b458a036d884",
+        "sha3_256_hash_of_public_key": "c7ca6ebbe17f30f8ce49e15c40c1ea5456f43624148eaecc9f3018f7beb96bdf",
+        "sha3_256_hash_of_secret_key": "7886dadfd208ab926afd2376dc11a004d8b793d7a30623df27109f9a4d4b0916",
+        "encapsulation_seed": "5b17a6adad541efcbf5ae4b0c0452cd2ce32e4f0f8701801c5b63e197c1fcbf4",
+        "sha3_256_hash_of_ciphertext": "4fdbbb522c23abd8a69c583c2c68ddc28fa4da85a6bf208a22d19e7ef40d98b3",
+        "shared_secret": "fcfab6cb3daf0c64b4ce007499f097f6421e00905fd4daca7da7a29b9c8f6325"
+    },
+    {
+        "key_generation_seed": "6fb2ec719f2a0dea152bf3f64b9d148f8ab8ba88f64e61f5db53e12d59f525574f797c007e4061f95c7d56cfc7ee5c49e849dde3fea8f25e7876df2a18515c34",
+        "sha3_256_hash_of_public_key": "61fb6cfc0f388e34fb28ed783c2733453005eea03d3fee4b01bb6364abc01c30",
+        "sha3_256_hash_of_secret_key": "b724f25cf64bdaab1cd29c9cd1f8ee6cf4104c26fa3caf53b77d61cb5c35222e",
+        "encapsulation_seed": "61ab87659525de9656af41246f20e1dbe85c24e335e7ecf9493f46168bc14e94",
+        "sha3_256_hash_of_ciphertext": "5ce7558ab39d932fd35fc346aaea5aff4bc90e65c17b5760996e84687dcb5402",
+        "shared_secret": "dbf4cd1f5cddf15322449ddfe147ae0605d0315ff9da6421069b47c3a67a65c4"
+    },
+    {
+        "key_generation_seed": "527fb88c8bd9a4d6031dad15e63878abd2b559e7e08d61f69e8e78fca964ee6ae32d432b4f9f751bde0496c580a181ffed762aa35454a02d3f1f47ee0394c89c",
+        "sha3_256_hash_of_public_key": "9333445958cf50f9cfba453f058f562158bc253e535e4e2f07715531a1c6289e",
+        "sha3_256_hash_of_secret_key": "9bb80f6928e0d09847b4c7e77ba6bf2cd0f75bdd147e884b92d3c3f2e9d839d6",
+        "encapsulation_seed": "eca2adc3da1fb15f34033405ec08ef2f46163df4bfcccf8842c600ce0bc2026c",
+        "sha3_256_hash_of_ciphertext": "57651b24ece777c321c6e59ba774951e2a3c4720d370e3af928238ff60c9565d",
+        "shared_secret": "3f4848a2de1cdd8a0403da22f609809a20c2cfc0ae619be0cac350897fead710"
+    },
+    {
+        "key_generation_seed": "ac6fcfaeeef795b6ef9e062f02bf42975fa01e7d91ba832f74e05269a72684d05aeda108ea4d6c6bc0fb958286850422bc357ca67b83c986048e0d0087fa11ec",
+        "sha3_256_hash_of_public_key": "ee6cb12a54341aeedc99f1040b01603c35f07c5487ffac7b4fc1925f49026916",
+        "sha3_256_hash_of_secret_key": "4e498a0606b1f9cd72b9d2493428730712bdaa4a7fed8099b15d9e2873bbdf7e",
+        "encapsulation_seed": "c4f15bec2d7701339d0ade4835193bea3632edcf89e74992620d9eb623a0d0d4",
+        "sha3_256_hash_of_ciphertext": "1fb55bc4e6d95931087b23945ce9448207fbbc14bd284f6bcda65fcf31d68fdc",
+        "shared_secret": "eed5b71764da1763a01184a1eb51dedb4eaa9dae7890b1c7dbc7e7132c30e737"
+    },
+    {
+        "key_generation_seed": "ba2fb9318d4dbe7488057c33e95e6f054583a2800c41bb83083c330a914a12cfe63f8ffda3565c2424c89b20974b748a65a5aba75133fcb3156dfb6626a83bab",
+        "sha3_256_hash_of_public_key": "42ad42d6d3b13c72b16287909bc4c0da04900536a1e48a1a28db4f5ee2d2e771",
+        "sha3_256_hash_of_secret_key": "d6f909b6679487a8718c843c4b894785ee046c4d86ad2794c22ee912113dad1f",
+        "encapsulation_seed": "28878249e2ac2b6263422993923a0c8bd05ce56e385ed13c943b03d226856947",
+        "sha3_256_hash_of_ciphertext": "54043d4b2be7ecb264847dd0bcde9076523e798aeee942be82d61d51ef0253c1",
+        "shared_secret": "4218fc9abb402e67ac946c7a7c6f9029108f67de469e1a9987d570f011b685c3"
+    },
+    {
+        "key_generation_seed": "aa6dd1e5799cdf7af9c4fc632b3eb9d51d66e85c8e0a21ec98664fc51ab63c7dfda268813efab5204efa60f78bf81d320d01ac09ac06244f7afbd2d80fd356d9",
+        "sha3_256_hash_of_public_key": "5b70c5bb1b7af3b643588aa7c20567d4259dbe6abd7617a61b48185de8f21e1c",
+        "sha3_256_hash_of_secret_key": "f03297b8577b131e39946a288f7ca9070e70c1e00e6ff126543556f60dbafead",
+        "encapsulation_seed": "17fc65f7fbd7c75ceec421dee84dff5a8cb22764a182db17e0ebe857f54d60eb",
+        "sha3_256_hash_of_ciphertext": "c3d51c14b28feb48ee67945a2f9e2ababb8682a839ca1148ddc99f909e8c0bc1",
+        "shared_secret": "95a33968866dadc1fd8748768a99f6bb444e3d76a65ec5fee0c8a833978d4585"
+    },
+    {
+        "key_generation_seed": "195d6c86a3df4c21e3007d7f2768b43c74cb3060e0eca77f0a5d3271542b9a84ae77e0f9f21eabd8c0c6eea7767f4e10fde5c2d79b8400bf96b19014b457ec21",
+        "sha3_256_hash_of_public_key": "01782fce09e644e310c9286f1e381be9ea8c54a1804e61f2958c1f975aec185a",
+        "sha3_256_hash_of_secret_key": "3d1b220e747de4ca99a9882a00860ed00abcf2e6eea60cba5194977f97c87770",
+        "encapsulation_seed": "fa0489f3730100609488e951e6aaa15c0f193bc1dbcfcd013bc418d6c507b176",
+        "sha3_256_hash_of_ciphertext": "8dbc778809c9cb1de5301be5bce766f1acd7d8f74ecf30619c398250def57d74",
+        "shared_secret": "c9423277519ab439fca3f5fab4c29c8123a55eaf37d94d70e27afffeec1b3b9b"
+    }
+]
\ No newline at end of file
diff --git a/kyber-crate-tests/kyber_kats/nistkats_768.json b/kyber-crate-tests/kyber_kats/nistkats_768.json
new file mode 100644
index 000000000..7b668915c
--- /dev/null
+++ b/kyber-crate-tests/kyber_kats/nistkats_768.json
@@ -0,0 +1,802 @@
+[
+    {
+        "key_generation_seed": "7c9935a0b07694aa0c6d10e4db6b1add2fd81a25ccb148032dcd739936737f2d8626ed79d451140800e03b59b956f8210e556067407d13dc90fa9e8b872bfb8f",
+        "sha3_256_hash_of_public_key": "d4ec143b50f01423b177895edee22bb739f647ecf85f50bc25ef7b5a725dee86",
+        "sha3_256_hash_of_secret_key": "245bc1d8cdd4893e4c471e8fccfa7019df0fd10f2d5375f36b4af5f4222aca6a",
+        "encapsulation_seed": "147c03f7a5bebba406c8fae1874d7f13c80efe79a3a9a874cc09fe76f6997615",
+        "sha3_256_hash_of_ciphertext": "bb62281b4aacc5a90a5ccdc5cd3dbe3867c502e8e6ec963ab329a9da0a20a75a",
+        "shared_secret": "729fa06ac93c5efdfbf1272a96cef167a393947ab7dc2d11ed7de8ac3c947fa8"
+    },
+    {
+        "key_generation_seed": "d60b93492a1d8c1c7ba6fc0b733137f3406cee8110a93f170e7a78658af326d9003271531cf27285b8721ed5cb46853043b346a66cba6cf765f1b0eaa40bf672",
+        "sha3_256_hash_of_public_key": "2cedad700b675e98641bea57b936bd8befce2d5161e0ef4ef8406e70f1e2c27c",
+        "sha3_256_hash_of_secret_key": "0a84cc895da138b944accbef3ff1a0004b8a0d8af5d426d2b82ea4c0e585cc6a",
+        "encapsulation_seed": "cde797df8ce67231f6c5d15811843e01eb2ab84c7490931240822adbddd72046",
+        "sha3_256_hash_of_ciphertext": "c15158a536d89bf3bafaea44cd442827a82f6eb772849015f3fec68a29d589dc",
+        "shared_secret": "c00e4ede0a4fa212980e6736686bf73585a0adf8d38fec212c860a0d3d055d1c"
+    },
+    {
+        "key_generation_seed": "4b622de1350119c45a9f2e2ef3dc5df50a759d138cdfbd64c81cc7cc2f513345e82fcc97ca60ccb27bf6938c975658aeb8b4d37cffbde25d97e561f36c219ade",
+        "sha3_256_hash_of_public_key": "3dbc65b722a8982d058e27d409f04f744551ecde9015b62607cf67bb8ececbb8",
+        "sha3_256_hash_of_secret_key": "0ffced333b5d13fff22b81e66d57b6e2a6dba0285fe2a82d5537df51a8d3eac3",
+        "encapsulation_seed": "f43f68fbd694f0a6d307297110ecd4739876489fdf07eb9b03364e2ed0ff96e9",
+        "sha3_256_hash_of_ciphertext": "aec80e6fe21e2616352b4c148f9fa0e30986541fb0969df7873b1336b23a8de0",
+        "shared_secret": "8f50401bc9b1f857fd870902d4065f6cec8cb825db3eb22573c6167442b6e19b"
+    },
+    {
+        "key_generation_seed": "050d58f9f757edc1e8180e3808b806f5bbb3586db3470b069826d1bb9a4efc2cde950541fd53a8a47aaa8cdfe80d928262a5ef7f8129ec3ef92f78d7cc32ef60",
+        "sha3_256_hash_of_public_key": "94391b7a41175a41c15cd995ebc69c83b29e4bcea6c186611dc4a79578e37f4c",
+        "sha3_256_hash_of_secret_key": "e3904266e186b34a397014c95f6d314cd6e1c813348b02e977d0fd21d9bb681b",
+        "encapsulation_seed": "ea74fbc3c546500ed684bed6fe3c496d3b86d2d6dfaf223969b942e9a8c95e85",
+        "sha3_256_hash_of_ciphertext": "39fa8e1d0a5e4bb987618734ee4903771886030b2d8bea4b5a9b0cb672ebb279",
+        "shared_secret": "3221d7b046caccbded38e369625f69bac60c2d7efacad8f24170b10c5d222830"
+    },
+    {
+        "key_generation_seed": "66b79b844e0c2adad694e0478661ac46fe6b6001f6a71ff8e2f034b1fd8833d3be2d3c64d38269a1ee8660b9a2beaeb9f5ac022e8f0a357feebfd13b06813854",
+        "sha3_256_hash_of_public_key": "c5dbd68b3a8c148b2e7ac049bb986e14dd1cebfa1cbf3edd6bae85a4d2dda082",
+        "sha3_256_hash_of_secret_key": "b3fa7958f4b7ccb68712ae948c3f08740c8b89a69e53ad4e9959234e6869d8fe",
+        "encapsulation_seed": "64efa87a12cb96f98b9b81a7e5128a959c74e5332aaab0444fca7b4a5e5e0216",
+        "sha3_256_hash_of_ciphertext": "ca9f95c38dc95f51b6b62ec709539f0d1e9fa64e49ce4ad10bbe62868f35cfc5",
+        "shared_secret": "1d746afc4160c75aaa6c6967f4eee941e09546a039027f05f0f8a483710ac334"
+    },
+    {
+        "key_generation_seed": "7ec408f52c9aa723d0c41d9987682a5f4ce6c9da7cd0215af60bbaf5484ab353a08ccf451b049fd51d7a9ad77ae14a81569df8c9bd3a8f1ebea86fdcfb823082",
+        "sha3_256_hash_of_public_key": "62e0447f7b5ae8a806b741ca5c302230b555c3786c11f3eb43894a8f45e3f7b1",
+        "sha3_256_hash_of_secret_key": "1a3249c268754c86d2e02ba9d87c2b60b220bf2406b71037cfaf6b089477ffb4",
+        "encapsulation_seed": "8a95d71228acaa5f9ae6f9d9ca8ae55fde296463b41083a39e833e37c4c90f88",
+        "sha3_256_hash_of_ciphertext": "ec7bb1327a69aeaf626a76d344be1156eac160262128a64477a194805b926233",
+        "shared_secret": "722fccef7142c46f74eb57a10b13e420d6554e9d18507f660bd1be96d3cebbcc"
+    },
+    {
+        "key_generation_seed": "c121915bfef6abdfc177dae2f5a24218f9abda2559afc6741b08e0e61ab433eb84ef52db5eaa6df8ec3a0bc5ffa730db0dde8c5f38f266d5c680a78d264a7b96",
+        "sha3_256_hash_of_public_key": "0c1d832af7b7282d8bd81a2237107ee60d81e28eb64d6a153ae0eaa1a25797c2",
+        "sha3_256_hash_of_secret_key": "fd6b5d3f120ca009871ca24552a6118917ea882f12f30dc8097f6614d9d36080",
+        "encapsulation_seed": "90d79d75d0bbb8921cf70d46bab497022a8e750efdc99e5f1bae653275441c7b",
+        "sha3_256_hash_of_ciphertext": "da36cb6137a777acb4afbc0932811f75ef1d6732031309ae7e2de1543aaf5c2c",
+        "shared_secret": "ee7c5fb6a63ace944e1eae1bd4b182263d918754c33753b904853551b2b46cb8"
+    },
+    {
+        "key_generation_seed": "d86634ecf96cc2603761e284c0e36734cedec64e7ff486469e38539c71141c5a99daf37400cfe59841afc412ec97f2929dc84a6f3c36f378ee84ce3e46cd1209",
+        "sha3_256_hash_of_public_key": "2b757ac0425152bef72ed852ab1eb44f4359499407bb6a020ff843a31657c5fe",
+        "sha3_256_hash_of_secret_key": "27dbbc7918c31e9ab57808f439c4f4189cc318a62422457f4fed733be959c816",
+        "encapsulation_seed": "be8a32f97b9a8d596382c02fa2a0eeebc15c083e970ddaa4f2622b91d6718663",
+        "sha3_256_hash_of_ciphertext": "85efbfd0b096fa921711ea66b17bcf7c9a6240711b38a88830dbd9d716f07195",
+        "shared_secret": "77cfbdae47854e9e10765cf397eca9ab2bf2b7522817152b22e18b6e09795016"
+    },
+    {
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+        "encapsulation_seed": "61ab87659525de9656af41246f20e1dbe85c24e335e7ecf9493f46168bc14e94",
+        "sha3_256_hash_of_ciphertext": "a2108ea2c446b566a50c228928893e2e4bde5fafb2184af92eb1314113bde0d6",
+        "shared_secret": "cfd1b82181543656807880f6e2576f0b095bf84629b3367e9bdede24662ee42e"
+    },
+    {
+        "key_generation_seed": "527fb88c8bd9a4d6031dad15e63878abd2b559e7e08d61f69e8e78fca964ee6ae32d432b4f9f751bde0496c580a181ffed762aa35454a02d3f1f47ee0394c89c",
+        "sha3_256_hash_of_public_key": "aae8e61b905723fa092fb95b839f6de3670c39ce0498c27b87d20c24e7f64e22",
+        "sha3_256_hash_of_secret_key": "3880f7ca8fc33575a7a6d8bb46fec86a3f12e0068630507ed245d8bc278fbe5d",
+        "encapsulation_seed": "eca2adc3da1fb15f34033405ec08ef2f46163df4bfcccf8842c600ce0bc2026c",
+        "sha3_256_hash_of_ciphertext": "ec48b3ec403609a0ce2d1268cadda8184ab9629cc5913135ffdecd420eed1aa9",
+        "shared_secret": "f7331b0a4674969838482b7184fa92e5246f11f5b5e284c3e179effff7eb6329"
+    },
+    {
+        "key_generation_seed": "ac6fcfaeeef795b6ef9e062f02bf42975fa01e7d91ba832f74e05269a72684d05aeda108ea4d6c6bc0fb958286850422bc357ca67b83c986048e0d0087fa11ec",
+        "sha3_256_hash_of_public_key": "64e085f67e48f00a7a7f82963e8c67176bff839a54fa1008328c0612f98d83d3",
+        "sha3_256_hash_of_secret_key": "0bfbc25d9df751f4c30907095eb6d9a75ed07fa23218ad0fffc469f0e55553c2",
+        "encapsulation_seed": "c4f15bec2d7701339d0ade4835193bea3632edcf89e74992620d9eb623a0d0d4",
+        "sha3_256_hash_of_ciphertext": "fb74b727ad120c18915dca475f3082cd34ded7ae20a308106384ffb5caa029d3",
+        "shared_secret": "c89d62938a5caabfd5b30d82ea88aced52ef5f8ec0528e59a654e1f6aff1cc2f"
+    },
+    {
+        "key_generation_seed": "ba2fb9318d4dbe7488057c33e95e6f054583a2800c41bb83083c330a914a12cfe63f8ffda3565c2424c89b20974b748a65a5aba75133fcb3156dfb6626a83bab",
+        "sha3_256_hash_of_public_key": "8dab879de09b58d0fc7ade140393ffb5343abbddabdc118fad519b14436a964c",
+        "sha3_256_hash_of_secret_key": "7c53072fd98ea7bd8c5e873688b1a5650fe7e11c791407ac8c118b7958cf414b",
+        "encapsulation_seed": "28878249e2ac2b6263422993923a0c8bd05ce56e385ed13c943b03d226856947",
+        "sha3_256_hash_of_ciphertext": "a1f1579c4ce8eb725e697623321b3d9f55f4b1d0def10b898535ef6614e9923e",
+        "shared_secret": "204d9272682710b52fb39b1176af3ff737848978770310df0c67996f6cb596c3"
+    },
+    {
+        "key_generation_seed": "aa6dd1e5799cdf7af9c4fc632b3eb9d51d66e85c8e0a21ec98664fc51ab63c7dfda268813efab5204efa60f78bf81d320d01ac09ac06244f7afbd2d80fd356d9",
+        "sha3_256_hash_of_public_key": "919a696301240cd6129f66be58e19d99b0d827d9932785cd9ea3d92f7ba54463",
+        "sha3_256_hash_of_secret_key": "cb1d7301f15951883cc3f287d4dd8fdf5c9b7022f558dff551c2ade5f5065755",
+        "encapsulation_seed": "17fc65f7fbd7c75ceec421dee84dff5a8cb22764a182db17e0ebe857f54d60eb",
+        "sha3_256_hash_of_ciphertext": "f02654803493821dd9c2ed23f9e46a36addd5fca0da706bbeeda87a2df9fec4f",
+        "shared_secret": "76e5f7623e3e867fd12f28dfda4311f7cd90a405b73e994e857f693573fd2b8a"
+    },
+    {
+        "key_generation_seed": "195d6c86a3df4c21e3007d7f2768b43c74cb3060e0eca77f0a5d3271542b9a84ae77e0f9f21eabd8c0c6eea7767f4e10fde5c2d79b8400bf96b19014b457ec21",
+        "sha3_256_hash_of_public_key": "cb6d7232426bdbdfdacd373c9190722e7bf342825f7d829185dcc9120588fc76",
+        "sha3_256_hash_of_secret_key": "a85e24cc2eafdfe40d82f46471112e1359628b9955f3feae9955b48d563ac952",
+        "encapsulation_seed": "fa0489f3730100609488e951e6aaa15c0f193bc1dbcfcd013bc418d6c507b176",
+        "sha3_256_hash_of_ciphertext": "17336b9ede3a1c26abe725828a5afbe746035a73dfd4a8fbde5040fbabeb2b8d",
+        "shared_secret": "874ac966970f29935db73c231e71a3559b2504e5446151b99c199276617b3824"
+    }
+]
\ No newline at end of file
diff --git a/kyber-crate-tests/kyber_nistkats.rs b/kyber-crate-tests/kyber_nistkats.rs
new file mode 100644
index 000000000..b1185d5c5
--- /dev/null
+++ b/kyber-crate-tests/kyber_nistkats.rs
@@ -0,0 +1,94 @@
+use serde::Deserialize;
+use serde_json;
+
+use std::path::Path;
+use std::{fs::File, io::BufReader};
+
+use libcrux::digest;
+
+use libcrux_kyber::kyber768::*;
+
+#[derive(Deserialize)]
+struct KyberNISTKAT {
+    #[serde(with = "hex::serde")]
+    key_generation_seed: [u8; 64],
+
+    #[serde(with = "hex::serde")]
+    sha3_256_hash_of_public_key: [u8; 32],
+
+    #[serde(with = "hex::serde")]
+    sha3_256_hash_of_secret_key: [u8; 32],
+
+    #[serde(with = "hex::serde")]
+    encapsulation_seed: [u8; 32],
+
+    #[serde(with = "hex::serde")]
+    sha3_256_hash_of_ciphertext: [u8; 32],
+
+    #[serde(with = "hex::serde")]
+    shared_secret: [u8; 32],
+}
+
+macro_rules! impl_nist_known_answer_tests {
+    ($name:ident, $parameter_set: literal, $key_gen_derand:expr, $encapsulate_derand:expr, $decapsulate_derand: expr) => {
+        #[test]
+        fn $name() {
+            let katfile_path = Path::new("tests")
+                .join("kyber_kats")
+                .join(format!("nistkats_{}.json", $parameter_set));
+            let katfile = File::open(katfile_path).expect("Could not open KAT file.");
+            let reader = BufReader::new(katfile);
+
+            let nist_kats: Vec<KyberNISTKAT> =
+                serde_json::from_reader(reader).expect("Could not deserialize KAT file.");
+
+            for kat in nist_kats {
+                eprintln!("seed: {}", hex::encode(kat.key_generation_seed));
+                let key_pair = $key_gen_derand(kat.key_generation_seed);
+
+                eprintln!("pk: {}", hex::encode(key_pair.pk()));
+                eprintln!("sk: {}", hex::encode(key_pair.sk()));
+                let public_key_hash = digest::sha3_256(key_pair.pk());
+                let secret_key_hash = digest::sha3_256(key_pair.sk());
+
+                // eprintln!("pk hash: {:x?}", public_key_hash);
+                assert_eq!(public_key_hash, kat.sha3_256_hash_of_public_key, "public keys don't match");
+                assert_eq!(secret_key_hash, kat.sha3_256_hash_of_secret_key, "secret keys don't match");
+
+                let (ciphertext, shared_secret) =
+                    $encapsulate_derand(key_pair.public_key(), kat.encapsulation_seed);
+                let ciphertext_hash = digest::sha3_256(ciphertext.as_ref());
+
+                assert_eq!(ciphertext_hash, kat.sha3_256_hash_of_ciphertext, "ciphertexts don't match");
+                assert_eq!(shared_secret.as_ref(), kat.shared_secret, "shared secret produced by encapsulate does not match");
+
+                let shared_secret_from_decapsulate =
+                    $decapsulate_derand(key_pair.private_key(), &ciphertext);
+                assert_eq!(shared_secret_from_decapsulate, shared_secret.as_ref(), "shared secret produced by decapsulate doesn't match the one produced by encapsulate");
+                break;
+            }
+        }
+    };
+}
+
+// impl_nist_known_answer_tests!(
+//     kyber512_nist_known_answer_tests,
+//     512,
+//     kyber512_generate_keypair_derand,
+//     kyber512_encapsulate_derand,
+//     kyber512_decapsulate_derand
+// );
+impl_nist_known_answer_tests!(
+    kyber768_nist_known_answer_tests,
+    768,
+    generate_key_pair_768,
+    encapsulate_768,
+    decapsulate_768
+);
+// impl_nist_known_answer_tests!(
+//     kyber1024_nist_known_answer_tests,
+//     1024,
+//     kyber1024_generate_keypair_derand,
+//     kyber1024_encapsulate_derand,
+//     kyber1024_decapsulate_derand
+// );
diff --git a/kyber-crate.sh b/kyber-crate.sh
index b180269fd..2629feeb5 100755
--- a/kyber-crate.sh
+++ b/kyber-crate.sh
@@ -10,7 +10,7 @@ mv src/kyber/* src
 
 SED=$(which gsed &>/dev/null && echo gsed || echo sed)
 
-cat > Cargo.toml <<EOF
+cat >Cargo.toml <<EOF
 [package]
 name = "libcrux_kyber"
 version = "0.1.0"
@@ -22,16 +22,61 @@ members = ["."]
 
 [dependencies]
 hax-lib = { git = "https://github.com/hacspec/hax/", branch = "main" }
-libcrux ={ path = "../" }
+libcrux = { path = "../" }
+libcrux-platform = { path = "../sys/platform" }
+hex = { version = "0.4.3", features = ["serde"] }
+
+[dev-dependencies]
+serde_json = { version = "1.0" }
+serde = { version = "1.0", features = ["derive"] }
+rand = { version = "0.8" }
 EOF
 
-for file in src/*; do 
-    if [ -f "$file" ]; then 
+# Fixup Rust for standalone crate
+for file in src/*; do
+    if [ -f "$file" ]; then
         echo "fixing up $file ..."
         $SED -i 's/pub(in .*)/pub(crate)/g' $file
         $SED -i 's/pub(super)/pub(crate)/g' $file
         $SED -i 's/crate::/libcrux::/g' $file
-    fi 
+        $SED -i 's/pub mod kyber512;//g' $file
+        $SED -i 's/pub mod kyber1024;//g' $file
+    fi
 done
 
-cargo build
+mkdir -p tests
+cp -r ../kyber-crate-tests/* tests/
+rm src/kyber512.rs
+rm src/kyber1024.rs
+
+# Build & test
+cargo test
+
+# Extract
+if [[ -z "$CHARON_HOME" ]]; then
+    echo "Please set CHARON_HOME to the Charon directory" 1>&2
+    exit 1
+fi
+if [[ -z "$EURYDICE_HOME" ]]; then
+    echo "Please set EURYDICE_HOME to the Eurydice directory" 1>&2
+    exit 1
+fi
+if [[ -z "$HACL_PACKAGES_HOME" ]]; then
+    echo "Please set HACL_PACKAGES_HOME to the hacl-packages directory" 1>&2
+    exit 1
+fi
+
+$CHARON_HOME/bin/charon --errors-as-warnings
+mkdir -p c
+cd c
+$EURYDICE_HOME/eurydice ../libcrux_kyber.llbc
+# Add header
+$SED -i -z 's!\(#include "libcrux_kyber.h"\)!\1\n#include "libcrux_hacl_glue.h"!g' libcrux_kyber.c
+# Drop definition
+$SED -i -z 's!typedef struct __uint8_t_840size_t__uint8_t_840size_t__uint8_t_840size_t__uint8_t_840size_t__s.*__uint8_t_840size_t__uint8_t_840size_t__uint8_t_840size_t__uint8_t_840size_t_;!!g' libcrux_kyber.c
+clang-format --style=Mozilla -i libcrux_kyber.c libcrux_kyber.h
+
+cp $EURYDICE_HOME/include/eurydice_glue.h .
+cp internal/*.h $HACL_PACKAGES_HOME/libcrux/include/internal/
+cp *.h $HACL_PACKAGES_HOME/libcrux/include
+cp *.c $HACL_PACKAGES_HOME/libcrux/src
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Arithmetic.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Arithmetic.fst
index a0fb8f92d..8b31db861 100644
--- a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Arithmetic.fst
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Arithmetic.fst
@@ -122,17 +122,19 @@ let add_to_ring_element (v_K: usize) (lhs rhs: t_PolynomialRingElement)
               Hax_lib.implies (i <. Libcrux.Kem.Kyber.Constants.v_COEFFICIENTS_IN_RING_ELEMENT
                   <:
                   bool)
-                (((Core.Num.impl__i32__abs (lhs.f_coefficients.[ i ] <: i32) <: i32) <=.
-                    (((cast (v_K <: usize) <: i32) -! 1l <: i32) *!
+                (fun temp_0_ ->
+                    let _:Prims.unit = temp_0_ in
+                    ((Core.Num.impl__i32__abs (lhs.f_coefficients.[ i ] <: i32) <: i32) <=.
+                      (((cast (v_K <: usize) <: i32) -! 1l <: i32) *!
+                        Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
+                        <:
+                        i32)
+                      <:
+                      bool) &&
+                    ((Core.Num.impl__i32__abs (rhs.f_coefficients.[ i ] <: i32) <: i32) <=.
                       Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
                       <:
-                      i32)
-                    <:
-                    bool) &&
-                  ((Core.Num.impl__i32__abs (rhs.f_coefficients.[ i ] <: i32) <: i32) <=.
-                    Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
-                    <:
-                    bool))
+                      bool))
               <:
               bool))
       (ensures
@@ -148,12 +150,14 @@ let add_to_ring_element (v_K: usize) (lhs rhs: t_PolynomialRingElement)
                       usize)
                     <:
                     bool)
-                  ((Core.Num.impl__i32__abs (result.f_coefficients.[ i ] <: i32) <: i32) <=.
-                    ((cast (v_K <: usize) <: i32) *! Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
+                  (fun temp_0_ ->
+                      let _:Prims.unit = temp_0_ in
+                      (Core.Num.impl__i32__abs (result.f_coefficients.[ i ] <: i32) <: i32) <=.
+                      ((cast (v_K <: usize) <: i32) *! Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
+                        <:
+                        i32)
                       <:
-                      i32)
-                    <:
-                    bool)
+                      bool)
                 <:
                 bool)) =
   let _:Prims.unit = () <: Prims.unit in
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Compress.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Compress.fst
index 9e8108eb9..9fd69b17e 100644
--- a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Compress.fst
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Compress.fst
@@ -10,9 +10,13 @@ let compress_message_coefficient (fe: u16)
         fun result ->
           let result:u8 = result in
           Hax_lib.implies ((833us <=. fe <: bool) && (fe <=. 2596us <: bool))
-            (result =. 1uy <: bool) &&
+            (fun temp_0_ ->
+                let _:Prims.unit = temp_0_ in
+                result =. 1uy <: bool) &&
           Hax_lib.implies (~.((833us <=. fe <: bool) && (fe <=. 2596us <: bool)) <: bool)
-            (result =. 0uy <: bool)) =
+            (fun temp_0_ ->
+                let _:Prims.unit = temp_0_ in
+                result =. 0uy <: bool)) =
   let (shifted: i16):i16 = 1664s -! (cast (fe <: u16) <: i16) in
   let mask:i16 = shifted >>! 15l in
   let shifted_to_positive:i16 = mask ^. shifted in
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Constant_time_ops.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Constant_time_ops.fst
index 29136d1e5..f2e051015 100644
--- a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Constant_time_ops.fst
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Constant_time_ops.fst
@@ -9,8 +9,14 @@ let is_non_zero (value: u8)
       (ensures
         fun result ->
           let result:u8 = result in
-          Hax_lib.implies (value =. 0uy <: bool) (result =. 0uy <: bool) &&
-          Hax_lib.implies (value <>. 0uy <: bool) (result =. 1uy <: bool)) =
+          Hax_lib.implies (value =. 0uy <: bool)
+            (fun temp_0_ ->
+                let _:Prims.unit = temp_0_ in
+                result =. 0uy <: bool) &&
+          Hax_lib.implies (value <>. 0uy <: bool)
+            (fun temp_0_ ->
+                let _:Prims.unit = temp_0_ in
+                result =. 1uy <: bool)) =
   let value:u16 = cast (value <: u8) <: u16 in
   let result:u16 =
     ((value |. (Core.Num.impl__u16__wrapping_add (~.value <: u16) 1us <: u16) <: u16) >>! 8l <: u16) &.
@@ -24,8 +30,14 @@ let compare_ciphertexts_in_constant_time (v_CIPHERTEXT_SIZE: usize) (lhs rhs: t_
       (ensures
         fun result ->
           let result:u8 = result in
-          Hax_lib.implies (lhs =. rhs <: bool) (result =. 0uy <: bool) &&
-          Hax_lib.implies (lhs <>. rhs <: bool) (result =. 1uy <: bool)) =
+          Hax_lib.implies (lhs =. rhs <: bool)
+            (fun temp_0_ ->
+                let _:Prims.unit = temp_0_ in
+                result =. 0uy <: bool) &&
+          Hax_lib.implies (lhs <>. rhs <: bool)
+            (fun temp_0_ ->
+                let _:Prims.unit = temp_0_ in
+                result =. 1uy <: bool)) =
   let _:Prims.unit = () <: Prims.unit in
   let _:Prims.unit = () <: Prims.unit in
   let (r: u8):u8 = 0uy in
@@ -52,8 +64,14 @@ let select_shared_secret_in_constant_time (lhs rhs: t_Slice u8) (selector: u8)
       (ensures
         fun result ->
           let result:t_Array u8 (sz 32) = result in
-          Hax_lib.implies (selector =. 0uy <: bool) (result =. lhs <: bool) &&
-          Hax_lib.implies (selector <>. 0uy <: bool) (result =. rhs <: bool)) =
+          Hax_lib.implies (selector =. 0uy <: bool)
+            (fun temp_0_ ->
+                let _:Prims.unit = temp_0_ in
+                result =. lhs <: bool) &&
+          Hax_lib.implies (selector <>. 0uy <: bool)
+            (fun temp_0_ ->
+                let _:Prims.unit = temp_0_ in
+                result =. rhs <: bool)) =
   let _:Prims.unit = () <: Prims.unit in
   let _:Prims.unit = () <: Prims.unit in
   let mask:u8 = Core.Num.impl__u8__wrapping_sub (is_non_zero selector <: u8) 1uy in
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Constants.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Constants.fst
index 1d311eece..938e50fe2 100644
--- a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Constants.fst
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Constants.fst
@@ -15,8 +15,7 @@ let v_CPA_PKE_KEY_GENERATION_SEED_SIZE: usize = sz 32
 
 let v_FIELD_MODULUS: i32 = 3329l
 
-let v_H_DIGEST_SIZE: usize =
-  Libcrux.Digest.digest_size (Libcrux.Digest.Algorithm_Sha3_256_ <: Libcrux.Digest.t_Algorithm)
+let v_H_DIGEST_SIZE: usize = sz 32
 
 let v_REJECTION_SAMPLING_SEED_SIZE: usize = sz 168 *! sz 5
 
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Hash_functions.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Hash_functions.fst
index 61da9b9f6..c25425f60 100644
--- a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Hash_functions.fst
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Hash_functions.fst
@@ -16,7 +16,7 @@ let v_XOFx4 (v_K: usize) (input: t_Array (t_Array u8 (sz 34)) v_K)
     Rust_primitives.Hax.repeat (Rust_primitives.Hax.repeat 0uy (sz 840) <: t_Array u8 (sz 840)) v_K
   in
   let out:t_Array (t_Array u8 (sz 840)) v_K =
-    if ~.(Libcrux_platform.simd256_support <: bool) || ~.false
+    if ~.(Libcrux_platform.simd256_support () <: bool) || ~.false
     then
       Core.Iter.Traits.Iterator.f_fold (Core.Iter.Traits.Collect.f_into_iter ({
                 Core.Ops.Range.f_start = sz 0;
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Helper.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Helper.fst
new file mode 100644
index 000000000..cb989f39e
--- /dev/null
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Helper.fst
@@ -0,0 +1,6 @@
+module Libcrux.Kem.Kyber.Helper
+#set-options "--fuel 0 --ifuel 1 --z3rlimit 15"
+open Core
+open FStar.Mul
+
+
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Ind_cpa.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Ind_cpa.fst
index 120b40029..d617803ad 100644
--- a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Ind_cpa.fst
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Ind_cpa.fst
@@ -206,7 +206,7 @@ let compress_then_serialize_u
   out
 
 let deserialize_then_decompress_u
-      (v_K v_CIPHERTEXT_SIZE v_VECTOR_U_ENCODED_SIZE v_U_COMPRESSION_FACTOR: usize)
+      (v_K v_CIPHERTEXT_SIZE v_U_COMPRESSION_FACTOR: usize)
       (ciphertext: t_Array u8 v_CIPHERTEXT_SIZE)
     : t_Array Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement v_K =
   let u_as_ntt:t_Array Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement v_K =
@@ -214,13 +214,7 @@ let deserialize_then_decompress_u
   in
   let u_as_ntt:t_Array Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement v_K =
     Core.Iter.Traits.Iterator.f_fold (Core.Iter.Traits.Collect.f_into_iter (Core.Iter.Traits.Iterator.f_enumerate
-              (Core.Slice.impl__chunks_exact (ciphertext.[ {
-                        Core.Ops.Range.f_end = v_VECTOR_U_ENCODED_SIZE
-                      }
-                      <:
-                      Core.Ops.Range.t_RangeTo usize ]
-                    <:
-                    t_Slice u8)
+              (Core.Slice.impl__chunks_exact (Rust_primitives.unsize ciphertext <: t_Slice u8)
                   ((Libcrux.Kem.Kyber.Constants.v_COEFFICIENTS_IN_RING_ELEMENT *!
                       v_U_COMPRESSION_FACTOR
                       <:
@@ -255,20 +249,14 @@ let deserialize_then_decompress_u
   in
   u_as_ntt
 
-let deserialize_public_key (v_K v_T_AS_NTT_ENCODED_SIZE: usize) (public_key: t_Slice u8)
+let deserialize_public_key (v_K: usize) (public_key: t_Slice u8)
     : t_Array Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement v_K =
   let tt_as_ntt:t_Array Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement v_K =
     Rust_primitives.Hax.repeat Libcrux.Kem.Kyber.Arithmetic.impl__PolynomialRingElement__ZERO v_K
   in
   let tt_as_ntt:t_Array Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement v_K =
     Core.Iter.Traits.Iterator.f_fold (Core.Iter.Traits.Collect.f_into_iter (Core.Iter.Traits.Iterator.f_enumerate
-              (Core.Slice.impl__chunks_exact (public_key.[ {
-                        Core.Ops.Range.f_end = v_T_AS_NTT_ENCODED_SIZE
-                      }
-                      <:
-                      Core.Ops.Range.t_RangeTo usize ]
-                    <:
-                    t_Slice u8)
+              (Core.Slice.impl__chunks_exact public_key
                   Libcrux.Kem.Kyber.Constants.v_BYTES_PER_RING_ELEMENT
                 <:
                 Core.Slice.Iter.t_ChunksExact u8)
@@ -330,11 +318,7 @@ let decrypt
       (ciphertext: t_Array u8 v_CIPHERTEXT_SIZE)
     : t_Array u8 (sz 32) =
   let u_as_ntt:t_Array Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement v_K =
-    deserialize_then_decompress_u v_K
-      v_CIPHERTEXT_SIZE
-      v_VECTOR_U_ENCODED_SIZE
-      v_U_COMPRESSION_FACTOR
-      ciphertext
+    deserialize_then_decompress_u v_K v_CIPHERTEXT_SIZE v_U_COMPRESSION_FACTOR ciphertext
   in
   let v:Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement =
     Libcrux.Kem.Kyber.Serialize.deserialize_then_decompress_ring_element_v v_V_COMPRESSION_FACTOR
@@ -360,7 +344,7 @@ let encrypt
       (randomness: t_Slice u8)
     : t_Array u8 v_CIPHERTEXT_SIZE =
   let tt_as_ntt:t_Array Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement v_K =
-    deserialize_public_key v_K v_T_AS_NTT_ENCODED_SIZE public_key
+    deserialize_public_key v_K public_key
   in
   let seed:t_Slice u8 =
     public_key.[ { Core.Ops.Range.f_start = v_T_AS_NTT_ENCODED_SIZE }
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Ntt.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Ntt.fst
index a0b2e8ee1..e1ba47339 100644
--- a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Ntt.fst
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Ntt.fst
@@ -307,14 +307,16 @@ let ntt_binomially_sampled_ring_element (re: Libcrux.Kem.Kyber.Arithmetic.t_Poly
                     usize)
                   <:
                   bool)
-                ((Core.Num.impl__i32__abs (re.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i ]
-                        <:
-                        i32)
+                (fun temp_0_ ->
+                    let _:Prims.unit = temp_0_ in
+                    (Core.Num.impl__i32__abs (re.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i ]
+                          <:
+                          i32)
+                      <:
+                      i32) <=.
+                    3l
                     <:
-                    i32) <=.
-                  3l
-                  <:
-                  bool)
+                    bool)
               <:
               bool))
       (ensures
@@ -331,15 +333,17 @@ let ntt_binomially_sampled_ring_element (re: Libcrux.Kem.Kyber.Arithmetic.t_Poly
                       usize)
                     <:
                     bool)
-                  ((Core.Num.impl__i32__abs (result.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i
-                          ]
-                          <:
-                          i32)
+                  (fun temp_0_ ->
+                      let _:Prims.unit = temp_0_ in
+                      (Core.Num.impl__i32__abs (result.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[
+                              i ]
+                            <:
+                            i32)
+                        <:
+                        i32) <.
+                      Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
                       <:
-                      i32) <.
-                    Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
-                    <:
-                    bool)
+                      bool)
                 <:
                 bool)) =
   let _:Prims.unit = () <: Prims.unit in
@@ -468,16 +472,19 @@ let ntt_multiply (lhs rhs: Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement)
               Hax_lib.implies (i <. Libcrux.Kem.Kyber.Constants.v_COEFFICIENTS_IN_RING_ELEMENT
                   <:
                   bool)
-                (((lhs.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i ] <: i32) >=. 0l <: bool) &&
-                  ((lhs.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i ] <: i32) <. 4096l <: bool) &&
-                  ((Core.Num.impl__i32__abs (rhs.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i ]
-                          <:
-                          i32)
+                (fun temp_0_ ->
+                    let _:Prims.unit = temp_0_ in
+                    ((lhs.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i ] <: i32) >=. 0l <: bool) &&
+                    ((lhs.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i ] <: i32) <. 4096l <: bool
+                    ) &&
+                    ((Core.Num.impl__i32__abs (rhs.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i ]
+                            <:
+                            i32)
+                        <:
+                        i32) <=.
+                      Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
                       <:
-                      i32) <=.
-                    Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
-                    <:
-                    bool))
+                      bool))
               <:
               bool))
       (ensures
@@ -494,15 +501,17 @@ let ntt_multiply (lhs rhs: Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement)
                       usize)
                     <:
                     bool)
-                  ((Core.Num.impl__i32__abs (result.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i
-                          ]
-                          <:
-                          i32)
+                  (fun temp_0_ ->
+                      let _:Prims.unit = temp_0_ in
+                      (Core.Num.impl__i32__abs (result.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[
+                              i ]
+                            <:
+                            i32)
+                        <:
+                        i32) <=.
+                      Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
                       <:
-                      i32) <=.
-                    Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
-                    <:
-                    bool)
+                      bool)
                 <:
                 bool)) =
   let _:Prims.unit = () <: Prims.unit in
@@ -651,14 +660,16 @@ let ntt_vector_u
                     usize)
                   <:
                   bool)
-                ((Core.Num.impl__i32__abs (re.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i ]
-                        <:
-                        i32)
+                (fun temp_0_ ->
+                    let _:Prims.unit = temp_0_ in
+                    (Core.Num.impl__i32__abs (re.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i ]
+                          <:
+                          i32)
+                      <:
+                      i32) <=.
+                    3328l
                     <:
-                    i32) <=.
-                  3328l
-                  <:
-                  bool)
+                    bool)
               <:
               bool))
       (ensures
@@ -675,15 +686,17 @@ let ntt_vector_u
                       usize)
                     <:
                     bool)
-                  ((Core.Num.impl__i32__abs (result.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i
-                          ]
-                          <:
-                          i32)
+                  (fun temp_0_ ->
+                      let _:Prims.unit = temp_0_ in
+                      (Core.Num.impl__i32__abs (result.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[
+                              i ]
+                            <:
+                            i32)
+                        <:
+                        i32) <.
+                      Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
                       <:
-                      i32) <.
-                    Libcrux.Kem.Kyber.Constants.v_FIELD_MODULUS
-                    <:
-                    bool)
+                      bool)
                 <:
                 bool)) =
   let _:Prims.unit = () <: Prims.unit in
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Sampling.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Sampling.fst
index e2c238f85..c4a14f331 100644
--- a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Sampling.fst
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Sampling.fst
@@ -3,7 +3,7 @@ module Libcrux.Kem.Kyber.Sampling
 open Core
 open FStar.Mul
 
-let rejection_sampling_panic_with_diagnostic: Prims.unit =
+let rejection_sampling_panic_with_diagnostic (_: Prims.unit) : Prims.unit =
   Rust_primitives.Hax.never_to_any (Core.Panicking.panic "explicit panic"
       <:
       Rust_primitives.Hax.t_Never)
@@ -25,15 +25,17 @@ let sample_from_binomial_distribution_2_ (randomness: t_Slice u8)
                       usize)
                     <:
                     bool)
-                  ((Core.Num.impl__i32__abs (result.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i
-                          ]
-                          <:
-                          i32)
+                  (fun temp_0_ ->
+                      let _:Prims.unit = temp_0_ in
+                      (Core.Num.impl__i32__abs (result.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[
+                              i ]
+                            <:
+                            i32)
+                        <:
+                        i32) <=.
+                      2l
                       <:
-                      i32) <=.
-                    2l
-                    <:
-                    bool)
+                      bool)
                 <:
                 bool)) =
   let (sampled: Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement):Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement
@@ -124,15 +126,17 @@ let sample_from_binomial_distribution_3_ (randomness: t_Slice u8)
                       usize)
                     <:
                     bool)
-                  ((Core.Num.impl__i32__abs (result.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[ i
-                          ]
-                          <:
-                          i32)
+                  (fun temp_0_ ->
+                      let _:Prims.unit = temp_0_ in
+                      (Core.Num.impl__i32__abs (result.Libcrux.Kem.Kyber.Arithmetic.f_coefficients.[
+                              i ]
+                            <:
+                            i32)
+                        <:
+                        i32) <=.
+                      3l
                       <:
-                      i32) <=.
-                    3l
-                    <:
-                    bool)
+                      bool)
                 <:
                 bool)) =
   let (sampled: Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement):Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement
@@ -320,7 +324,7 @@ let sample_from_uniform_distribution (randomness: t_Array u8 (sz 840))
   let _:Prims.unit =
     if ~.done
     then
-      let _:Prims.unit = rejection_sampling_panic_with_diagnostic in
+      let _:Prims.unit = rejection_sampling_panic_with_diagnostic () in
       ()
   in
   let _:Prims.unit = () <: Prims.unit in
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Serialize.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Serialize.fst
index a27140de4..24794a215 100644
--- a/proofs/fstar/extraction/Libcrux.Kem.Kyber.Serialize.fst
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.Serialize.fst
@@ -1138,13 +1138,13 @@ let deserialize_then_decompress_message (serialized: t_Array u8 (sz 32))
   in
   let re:Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement =
     Core.Iter.Traits.Iterator.f_fold (Core.Iter.Traits.Collect.f_into_iter (Core.Iter.Traits.Iterator.f_enumerate
-              (Core.Slice.impl__iter (Rust_primitives.unsize serialized <: t_Slice u8)
+              (Core.Iter.Traits.Collect.f_into_iter serialized
                 <:
-                Core.Slice.Iter.t_Iter u8)
+                Core.Array.Iter.t_IntoIter u8 (sz 32))
             <:
-            Core.Iter.Adapters.Enumerate.t_Enumerate (Core.Slice.Iter.t_Iter u8))
+            Core.Iter.Adapters.Enumerate.t_Enumerate (Core.Array.Iter.t_IntoIter u8 (sz 32)))
         <:
-        Core.Iter.Adapters.Enumerate.t_Enumerate (Core.Slice.Iter.t_Iter u8))
+        Core.Iter.Adapters.Enumerate.t_Enumerate (Core.Array.Iter.t_IntoIter u8 (sz 32)))
       re
       (fun re temp_1_ ->
           let re:Libcrux.Kem.Kyber.Arithmetic.t_PolynomialRingElement = re in
diff --git a/proofs/fstar/extraction/Libcrux.Kem.Kyber.fst b/proofs/fstar/extraction/Libcrux.Kem.Kyber.fst
index 62328a32d..173bb074f 100644
--- a/proofs/fstar/extraction/Libcrux.Kem.Kyber.fst
+++ b/proofs/fstar/extraction/Libcrux.Kem.Kyber.fst
@@ -259,10 +259,15 @@ let encapsulate
         <:
         t_Slice u8) randomness pseudorandomness
   in
-  Core.Convert.f_into ciphertext,
-  Core.Result.impl__unwrap (Core.Convert.f_try_into shared_secret
-      <:
-      Core.Result.t_Result (t_Array u8 (sz 32)) Core.Array.t_TryFromSliceError)
+  let shared_secret:t_Array u8 (sz 32) =
+    match Core.Convert.f_try_into shared_secret with
+    | Core.Result.Result_Ok shared_secret -> shared_secret
+    | Core.Result.Result_Err _ ->
+      Rust_primitives.Hax.never_to_any (Core.Panicking.panic "explicit panic"
+          <:
+          Rust_primitives.Hax.t_Never)
+  in
+  Core.Convert.f_into ciphertext, shared_secret
   <:
   (Libcrux.Kem.Kyber.Types.t_KyberCiphertext v_CIPHERTEXT_SIZE & t_Array u8 (sz 32))
 
diff --git a/proofs/fstar/extraction/Libcrux_platform.fsti b/proofs/fstar/extraction/Libcrux_platform.fsti
index 2f14b2aa5..e97df7666 100644
--- a/proofs/fstar/extraction/Libcrux_platform.fsti
+++ b/proofs/fstar/extraction/Libcrux_platform.fsti
@@ -1,4 +1,4 @@
 module Libcrux_platform
 #set-options "--fuel 0 --ifuel 1 --z3rlimit 15"
 
-val simd256_support: bool
+val simd256_support : unit -> bool
diff --git a/src/kem/kyber.rs b/src/kem/kyber.rs
index d7e9afc34..0e984dc38 100644
--- a/src/kem/kyber.rs
+++ b/src/kem/kyber.rs
@@ -7,6 +7,9 @@
 // This is being tracked in https://github.com/hacspec/hacspec-v2/issues/27
 pub(crate) mod constants;
 
+/// Helpers for verification and extraction
+mod helper;
+
 mod arithmetic;
 mod compress;
 mod constant_time_ops;
@@ -133,7 +136,11 @@ pub(super) fn encapsulate<
         ETA2_RANDOMNESS_SIZE,
     >(public_key.as_slice(), randomness, pseudorandomness);
 
-    (ciphertext.into(), shared_secret.try_into().unwrap())
+    let shared_secret = match shared_secret.try_into() {
+        Ok(shared_secret) => shared_secret,
+        Err(_) => panic!(),
+    };
+    (ciphertext.into(), shared_secret)
 }
 
 pub(super) fn decapsulate<
diff --git a/src/kem/kyber/arithmetic.rs b/src/kem/kyber/arithmetic.rs
index 1b1d0ea68..7ec390364 100644
--- a/src/kem/kyber/arithmetic.rs
+++ b/src/kem/kyber/arithmetic.rs
@@ -98,7 +98,7 @@ pub(crate) fn to_unsigned_representative(fe: FieldElement) -> u16 {
     (fe + (FIELD_MODULUS & (fe >> 31))) as u16
 }
 
-#[derive(Debug, Clone, Copy, PartialEq, Eq)]
+#[derive(Clone, Copy)]
 pub struct PolynomialRingElement {
     pub(crate) coefficients: [FieldElement; COEFFICIENTS_IN_RING_ELEMENT],
 }
diff --git a/src/kem/kyber/constants.rs b/src/kem/kyber/constants.rs
index 753b9654d..f64a05b2f 100644
--- a/src/kem/kyber/constants.rs
+++ b/src/kem/kyber/constants.rs
@@ -1,5 +1,3 @@
-use crate::digest::{digest_size, Algorithm};
-
 /// Field modulus: 3329
 pub(crate) const FIELD_MODULUS: i32 = 3329;
 
@@ -38,4 +36,6 @@ pub(crate) const CPA_PKE_KEY_GENERATION_SEED_SIZE: usize = 32;
 //     (COEFFICIENTS_IN_RING_ELEMENT * FACTOR) / 8
 // }
 
-pub(crate) const H_DIGEST_SIZE: usize = digest_size(Algorithm::Sha3_256);
+// XXX: Eurydice can't handle this.
+// digest_size(Algorithm::Sha3_256);
+pub(crate) const H_DIGEST_SIZE: usize = 32;
diff --git a/src/kem/kyber/helper.rs b/src/kem/kyber/helper.rs
new file mode 100644
index 000000000..a20a1ea97
--- /dev/null
+++ b/src/kem/kyber/helper.rs
@@ -0,0 +1,54 @@
+#[cfg(not(hax))]
+#[macro_export]
+macro_rules! cloop {
+    (for ($i:ident, $chunk:ident) in $val:ident.$values:ident.chunks_exact($($chunk_size:expr),*).enumerate() $body:block) => {
+        for $i in 0..$val.$values.len() / ($($chunk_size)*) {
+            let $chunk = &$val.$values[$i*($($chunk_size)*) .. $i*($($chunk_size)*)+($($chunk_size)*)];
+            $body
+        }
+    };
+    (for ($i:ident, $chunk:ident) in $val:ident.chunks_exact($($chunk_size:expr),*).enumerate() $body:block) => {
+        for $i in 0..$val.len() / ($($chunk_size)*) {
+            let $chunk = &$val[$i*($($chunk_size)*) .. $i*($($chunk_size)*)+($($chunk_size)*)];
+            $body
+        }
+    };
+    (for ($i:ident, $item:ident) in $val:ident.iter().enumerate() $body:block) => {
+        for $i in 0..$val.len() {
+            let $item = &$val[$i];
+            $body
+        }
+    };
+    (for ($i:ident, $item:ident) in $val:ident.into_iter().enumerate() $body:block) => {
+        for $i in 0..$val.len() {
+            let $item = $val[$i];
+            $body
+        }
+    };
+    (for $i:ident in ($start:literal..$end:expr).step_by($step:literal) $body:block) => {
+        for $i in $start..$end / $step {
+            let $i = $i * $step;
+            $body
+        }
+    };
+}
+
+#[cfg(hax)]
+#[macro_export]
+macro_rules! cloop {
+    (for ($i:ident, $chunk:ident) in $val:ident.$values:ident.chunks_exact($($chunk_size:expr),*).enumerate() $body:block) => {
+        for ($i, $chunk) in $val.$values.chunks_exact($($chunk_size),*).enumerate() $body
+    };
+    (for ($i:ident, $chunk:ident) in $val:ident.chunks_exact($($chunk_size:expr),*).enumerate() $body:block) => {
+        for ($i, $chunk) in $val.chunks_exact($($chunk_size),*).enumerate() $body
+    };
+    (for ($i:ident, $item:ident) in $val:ident.iter().enumerate() $body:block) => {
+        for ($i, $item) in $val.iter().enumerate() $body
+    };
+    (for ($i:ident, $item:ident) in $val:ident.into_iter().enumerate() $body:block) => {
+        for ($i, $item) in $val.into_iter().enumerate() $body
+    };
+    (for $i:ident in ($start:literal..$end:expr).step_by($step:literal) $body:block) => {
+        for $i in ($start..$end).step_by($step) $body
+    };
+}
diff --git a/src/kem/kyber/ind_cpa.rs b/src/kem/kyber/ind_cpa.rs
index d70f50b27..15e74a627 100644
--- a/src/kem/kyber/ind_cpa.rs
+++ b/src/kem/kyber/ind_cpa.rs
@@ -14,6 +14,7 @@ use super::{
         deserialize_to_uncompressed_ring_element, serialize_uncompressed_ring_element,
     },
 };
+use crate::cloop;
 
 /// Pad the `slice` with `0`s at the end.
 #[inline(always)]
@@ -44,15 +45,15 @@ fn serialize_public_key<
 
 /// Call [`deserialize_to_uncompressed_ring_element`] on each ring element.
 #[inline(always)]
-fn deserialize_public_key<const K: usize, const T_AS_NTT_ENCODED_SIZE: usize>(
-    public_key: &[u8],
-) -> [PolynomialRingElement; K] {
+fn deserialize_public_key<const K: usize>(public_key: &[u8]) -> [PolynomialRingElement; K] {
     let mut t_as_ntt = [PolynomialRingElement::ZERO; K];
-    for (i, t_as_ntt_bytes) in public_key[..T_AS_NTT_ENCODED_SIZE]
-        .chunks_exact(BYTES_PER_RING_ELEMENT)
-        .enumerate()
-    {
-        t_as_ntt[i] = deserialize_to_uncompressed_ring_element(t_as_ntt_bytes);
+    cloop! {
+        for (i, t_as_ntt_bytes) in public_key
+            .chunks_exact(BYTES_PER_RING_ELEMENT)
+            .enumerate()
+        {
+            t_as_ntt[i] = deserialize_to_uncompressed_ring_element(t_as_ntt_bytes);
+        }
     }
     t_as_ntt
 }
@@ -64,9 +65,11 @@ fn serialize_secret_key<const K: usize, const OUT_LEN: usize>(
 ) -> [u8; OUT_LEN] {
     let mut out = [0u8; OUT_LEN];
 
-    for (i, re) in key.into_iter().enumerate() {
-        out[i * BYTES_PER_RING_ELEMENT..(i + 1) * BYTES_PER_RING_ELEMENT]
+    cloop! {
+        for (i, re) in key.into_iter().enumerate() {
+            out[i * BYTES_PER_RING_ELEMENT..(i + 1) * BYTES_PER_RING_ELEMENT]
             .copy_from_slice(&serialize_uncompressed_ring_element(re));
+        }
     }
 
     out
@@ -164,10 +167,12 @@ fn compress_then_serialize_u<
     input: [PolynomialRingElement; K],
 ) -> [u8; OUT_LEN] {
     let mut out = [0u8; OUT_LEN];
-    for (i, re) in input.into_iter().enumerate() {
-        out[i * (OUT_LEN / K)..(i + 1) * (OUT_LEN / K)].copy_from_slice(
-            &compress_then_serialize_ring_element_u::<COMPRESSION_FACTOR, BLOCK_LEN>(re),
-        );
+    cloop! {
+        for (i, re) in input.into_iter().enumerate() {
+            out[i * (OUT_LEN / K)..(i + 1) * (OUT_LEN / K)].copy_from_slice(
+                &compress_then_serialize_ring_element_u::<COMPRESSION_FACTOR, BLOCK_LEN>(re),
+            );
+        }
     }
 
     out
@@ -196,7 +201,7 @@ pub(crate) fn encrypt<
     randomness: &[u8],
 ) -> [u8; CIPHERTEXT_SIZE] {
     // tˆ := Decode_12(pk)
-    let t_as_ntt = deserialize_public_key::<K, T_AS_NTT_ENCODED_SIZE>(public_key);
+    let t_as_ntt = deserialize_public_key::<K>(public_key);
 
     // ρ := pk + 12·k·n / 8
     // for i from 0 to k−1 do
@@ -255,18 +260,19 @@ pub(crate) fn encrypt<
 fn deserialize_then_decompress_u<
     const K: usize,
     const CIPHERTEXT_SIZE: usize,
-    const VECTOR_U_ENCODED_SIZE: usize,
     const U_COMPRESSION_FACTOR: usize,
 >(
     ciphertext: &[u8; CIPHERTEXT_SIZE],
 ) -> [PolynomialRingElement; K] {
     let mut u_as_ntt = [PolynomialRingElement::ZERO; K];
-    for (i, u_bytes) in ciphertext[..VECTOR_U_ENCODED_SIZE]
-        .chunks_exact((COEFFICIENTS_IN_RING_ELEMENT * U_COMPRESSION_FACTOR) / 8)
-        .enumerate()
-    {
-        let u = deserialize_then_decompress_ring_element_u::<U_COMPRESSION_FACTOR>(u_bytes);
-        u_as_ntt[i] = ntt_vector_u::<U_COMPRESSION_FACTOR>(u);
+    cloop! {
+        for (i, u_bytes) in ciphertext
+            .chunks_exact((COEFFICIENTS_IN_RING_ELEMENT * U_COMPRESSION_FACTOR) / 8)
+            .enumerate()
+        {
+            let u = deserialize_then_decompress_ring_element_u::<U_COMPRESSION_FACTOR>(u_bytes);
+            u_as_ntt[i] = ntt_vector_u::<U_COMPRESSION_FACTOR>(u);
+        }
     }
     u_as_ntt
 }
@@ -275,8 +281,10 @@ fn deserialize_then_decompress_u<
 #[inline(always)]
 fn deserialize_secret_key<const K: usize>(secret_key: &[u8]) -> [PolynomialRingElement; K] {
     let mut secret_as_ntt = [PolynomialRingElement::ZERO; K];
-    for (i, secret_bytes) in secret_key.chunks_exact(BYTES_PER_RING_ELEMENT).enumerate() {
-        secret_as_ntt[i] = deserialize_to_uncompressed_ring_element(secret_bytes);
+    cloop! {
+        for (i, secret_bytes) in secret_key.chunks_exact(BYTES_PER_RING_ELEMENT).enumerate() {
+            secret_as_ntt[i] = deserialize_to_uncompressed_ring_element(secret_bytes);
+        }
     }
     secret_as_ntt
 }
@@ -294,12 +302,8 @@ pub(super) fn decrypt<
     ciphertext: &[u8; CIPHERTEXT_SIZE],
 ) -> [u8; SHARED_SECRET_SIZE] {
     // u := Decompress_q(Decode_{d_u}(c), d_u)
-    let u_as_ntt = deserialize_then_decompress_u::<
-        K,
-        CIPHERTEXT_SIZE,
-        VECTOR_U_ENCODED_SIZE,
-        U_COMPRESSION_FACTOR,
-    >(ciphertext);
+    let u_as_ntt =
+        deserialize_then_decompress_u::<K, CIPHERTEXT_SIZE, U_COMPRESSION_FACTOR>(ciphertext);
 
     // v := Decompress_q(Decode_{d_v}(c + d_u·k·n / 8), d_v)
     let v = deserialize_then_decompress_ring_element_v::<V_COMPRESSION_FACTOR>(
diff --git a/src/kem/kyber/matrix.rs b/src/kem/kyber/matrix.rs
index bf4dfc26d..b2a071bc5 100644
--- a/src/kem/kyber/matrix.rs
+++ b/src/kem/kyber/matrix.rs
@@ -8,6 +8,7 @@ use super::{
     ntt::{invert_ntt_montgomery, ntt_multiply},
     sampling::sample_from_uniform_distribution,
 };
+use crate::cloop;
 
 #[inline(always)]
 #[allow(non_snake_case)]
@@ -104,19 +105,23 @@ pub(in crate::kem::kyber) fn compute_vector_u<const K: usize>(
 ) -> [PolynomialRingElement; K] {
     let mut result = [PolynomialRingElement::ZERO; K];
 
-    for (i, row) in a_as_ntt.iter().enumerate() {
-        for (j, a_element) in row.iter().enumerate() {
-            let product = ntt_multiply(a_element, &r_as_ntt[j]);
-            result[i] = add_to_ring_element::<K>(result[i], &product);
-        }
+    cloop! {
+        for (i, row) in a_as_ntt.iter().enumerate() {
+            cloop! {
+                for (j, a_element) in row.iter().enumerate() {
+                    let product = ntt_multiply(a_element, &r_as_ntt[j]);
+                    result[i] = add_to_ring_element::<K>(result[i], &product);
+                }
+            }
 
-        result[i] = invert_ntt_montgomery::<K>(result[i]);
+            result[i] = invert_ntt_montgomery::<K>(result[i]);
 
-        for j in 0..COEFFICIENTS_IN_RING_ELEMENT {
-            let coefficient_normal_form = montgomery_reduce(result[i].coefficients[j] * 1441);
+            for j in 0..COEFFICIENTS_IN_RING_ELEMENT {
+                let coefficient_normal_form = montgomery_reduce(result[i].coefficients[j] * 1441);
 
-            result[i].coefficients[j] =
-                barrett_reduce(coefficient_normal_form + error_1[i].coefficients[j]);
+                result[i].coefficients[j] =
+                    barrett_reduce(coefficient_normal_form + error_1[i].coefficients[j]);
+            }
         }
     }
 
@@ -133,19 +138,23 @@ pub(in crate::kem::kyber) fn compute_As_plus_e<const K: usize>(
 ) -> [PolynomialRingElement; K] {
     let mut result = [PolynomialRingElement::ZERO; K];
 
-    for (i, row) in matrix_A.iter().enumerate() {
-        for (j, matrix_element) in row.iter().enumerate() {
-            let product = ntt_multiply(matrix_element, &s_as_ntt[j]);
-            result[i] = add_to_ring_element::<K>(result[i], &product);
-        }
+    cloop! {
+        for (i, row) in matrix_A.iter().enumerate() {
+            cloop! {
+                for (j, matrix_element) in row.iter().enumerate() {
+                    let product = ntt_multiply(matrix_element, &s_as_ntt[j]);
+                    result[i] = add_to_ring_element::<K>(result[i], &product);
+                }
+            }
 
-        for j in 0..COEFFICIENTS_IN_RING_ELEMENT {
-            // The coefficients are of the form aR^{-1} mod q, which means
-            // calling to_montgomery_domain() on them should return a mod q.
-            let coefficient_normal_form = to_standard_domain(result[i].coefficients[j]);
+            for j in 0..COEFFICIENTS_IN_RING_ELEMENT {
+                // The coefficients are of the form aR^{-1} mod q, which means
+                // calling to_montgomery_domain() on them should return a mod q.
+                let coefficient_normal_form = to_standard_domain(result[i].coefficients[j]);
 
-            result[i].coefficients[j] =
-                barrett_reduce(coefficient_normal_form + error_as_ntt[i].coefficients[j])
+                result[i].coefficients[j] =
+                    barrett_reduce(coefficient_normal_form + error_as_ntt[i].coefficients[j])
+            }
         }
     }
 
diff --git a/src/kem/kyber/sampling.rs b/src/kem/kyber/sampling.rs
index 983255fb9..d1e9cf04c 100644
--- a/src/kem/kyber/sampling.rs
+++ b/src/kem/kyber/sampling.rs
@@ -2,6 +2,7 @@ use super::{
     arithmetic::{FieldElement, PolynomialRingElement},
     constants::{COEFFICIENTS_IN_RING_ELEMENT, FIELD_MODULUS, REJECTION_SAMPLING_SEED_SIZE},
 };
+use crate::cloop;
 
 fn rejection_sampling_panic_with_diagnostic() {
     panic!()
@@ -65,23 +66,27 @@ pub fn sample_from_uniform_distribution(
 fn sample_from_binomial_distribution_2(randomness: &[u8]) -> PolynomialRingElement {
     let mut sampled: PolynomialRingElement = PolynomialRingElement::ZERO;
 
-    for (chunk_number, byte_chunk) in randomness.chunks_exact(4).enumerate() {
-        let random_bits_as_u32: u32 = (byte_chunk[0] as u32)
-            | (byte_chunk[1] as u32) << 8
-            | (byte_chunk[2] as u32) << 16
-            | (byte_chunk[3] as u32) << 24;
+    cloop! {
+        for (chunk_number, byte_chunk) in randomness.chunks_exact(4).enumerate() {
+            let random_bits_as_u32: u32 = (byte_chunk[0] as u32)
+                | (byte_chunk[1] as u32) << 8
+                | (byte_chunk[2] as u32) << 16
+                | (byte_chunk[3] as u32) << 24;
 
-        let even_bits = random_bits_as_u32 & 0x55555555;
-        let odd_bits = (random_bits_as_u32 >> 1) & 0x55555555;
+            let even_bits = random_bits_as_u32 & 0x55555555;
+            let odd_bits = (random_bits_as_u32 >> 1) & 0x55555555;
 
-        let coin_toss_outcomes = even_bits + odd_bits;
+            let coin_toss_outcomes = even_bits + odd_bits;
 
-        for outcome_set in (0..u32::BITS).step_by(4) {
-            let outcome_1 = ((coin_toss_outcomes >> outcome_set) & 0x3) as FieldElement;
-            let outcome_2 = ((coin_toss_outcomes >> (outcome_set + 2)) & 0x3) as FieldElement;
+            cloop! {
+                for outcome_set in (0..u32::BITS).step_by(4) {
+                    let outcome_1 = ((coin_toss_outcomes >> outcome_set) & 0x3) as FieldElement;
+                    let outcome_2 = ((coin_toss_outcomes >> (outcome_set + 2)) & 0x3) as FieldElement;
 
-            let offset = (outcome_set >> 2) as usize;
-            sampled.coefficients[8 * chunk_number + offset] = outcome_1 - outcome_2;
+                    let offset = (outcome_set >> 2) as usize;
+                    sampled.coefficients[8 * chunk_number + offset] = outcome_1 - outcome_2;
+                }
+            }
         }
     }
 
@@ -100,22 +105,26 @@ fn sample_from_binomial_distribution_2(randomness: &[u8]) -> PolynomialRingEleme
 fn sample_from_binomial_distribution_3(randomness: &[u8]) -> PolynomialRingElement {
     let mut sampled: PolynomialRingElement = PolynomialRingElement::ZERO;
 
-    for (chunk_number, byte_chunk) in randomness.chunks_exact(3).enumerate() {
-        let random_bits_as_u24: u32 =
-            (byte_chunk[0] as u32) | (byte_chunk[1] as u32) << 8 | (byte_chunk[2] as u32) << 16;
+    cloop! {
+        for (chunk_number, byte_chunk) in randomness.chunks_exact(3).enumerate() {
+            let random_bits_as_u24: u32 =
+                (byte_chunk[0] as u32) | (byte_chunk[1] as u32) << 8 | (byte_chunk[2] as u32) << 16;
 
-        let first_bits = random_bits_as_u24 & 0x00249249;
-        let second_bits = (random_bits_as_u24 >> 1) & 0x00249249;
-        let third_bits = (random_bits_as_u24 >> 2) & 0x00249249;
+            let first_bits = random_bits_as_u24 & 0x00249249;
+            let second_bits = (random_bits_as_u24 >> 1) & 0x00249249;
+            let third_bits = (random_bits_as_u24 >> 2) & 0x00249249;
 
-        let coin_toss_outcomes = first_bits + second_bits + third_bits;
+            let coin_toss_outcomes = first_bits + second_bits + third_bits;
 
-        for outcome_set in (0..24).step_by(6) {
-            let outcome_1 = ((coin_toss_outcomes >> outcome_set) & 0x7) as FieldElement;
-            let outcome_2 = ((coin_toss_outcomes >> (outcome_set + 3)) & 0x7) as FieldElement;
+            cloop! {
+                for outcome_set in (0..24).step_by(6) {
+                    let outcome_1 = ((coin_toss_outcomes >> outcome_set) & 0x7) as FieldElement;
+                    let outcome_2 = ((coin_toss_outcomes >> (outcome_set + 3)) & 0x7) as FieldElement;
 
-            let offset = (outcome_set / 6) as usize;
-            sampled.coefficients[4 * chunk_number + offset] = outcome_1 - outcome_2;
+                    let offset = (outcome_set / 6) as usize;
+                    sampled.coefficients[4 * chunk_number + offset] = outcome_1 - outcome_2;
+                }
+            }
         }
     }
 
diff --git a/src/kem/kyber/serialize.rs b/src/kem/kyber/serialize.rs
index 89f4949a1..b13250aa7 100644
--- a/src/kem/kyber/serialize.rs
+++ b/src/kem/kyber/serialize.rs
@@ -6,6 +6,7 @@ use super::{
     },
     constants::{BYTES_PER_RING_ELEMENT, SHARED_SECRET_SIZE},
 };
+use crate::cloop;
 
 #[cfg(not(hax))]
 use super::constants::COEFFICIENTS_IN_RING_ELEMENT;
@@ -16,13 +17,17 @@ pub(super) fn compress_then_serialize_message(
 ) -> [u8; SHARED_SECRET_SIZE] {
     let mut serialized = [0u8; SHARED_SECRET_SIZE];
 
-    for (i, coefficients) in re.coefficients.chunks_exact(8).enumerate() {
-        for (j, coefficient) in coefficients.iter().enumerate() {
-            let coefficient = to_unsigned_representative(*coefficient);
+    cloop! {
+        for (i, coefficients) in re.coefficients.chunks_exact(8).enumerate() {
+            cloop! {
+                for (j, coefficient) in coefficients.iter().enumerate() {
+                    let coefficient = to_unsigned_representative(*coefficient);
 
-            let coefficient_compressed = compress_message_coefficient(coefficient);
+                    let coefficient_compressed = compress_message_coefficient(coefficient);
 
-            serialized[i] |= coefficient_compressed << j
+                    serialized[i] |= coefficient_compressed << j
+                }
+            }
         }
     }
 
@@ -34,10 +39,12 @@ pub(super) fn deserialize_then_decompress_message(
 ) -> PolynomialRingElement {
     let mut re = PolynomialRingElement::ZERO;
 
-    for (i, byte) in serialized.iter().enumerate() {
-        for j in 0..8 {
-            let coefficient_compressed = ((byte >> j) & 0x1) as FieldElement;
-            re.coefficients[8 * i + j] = decompress_message_coefficient(coefficient_compressed);
+    cloop! {
+        for (i, byte) in serialized.into_iter().enumerate() {
+            for j in 0..8 {
+                let coefficient_compressed = ((byte >> j) & 0x1) as FieldElement;
+                re.coefficients[8 * i + j] = decompress_message_coefficient(coefficient_compressed);
+            }
         }
     }
 
@@ -50,14 +57,16 @@ pub(super) fn serialize_uncompressed_ring_element(
 ) -> [u8; BYTES_PER_RING_ELEMENT] {
     let mut serialized = [0u8; BYTES_PER_RING_ELEMENT];
 
-    for (i, coefficients) in re.coefficients.chunks_exact(2).enumerate() {
-        let coefficient1 = to_unsigned_representative(coefficients[0]);
-        let coefficient2 = to_unsigned_representative(coefficients[1]);
+    cloop! {
+        for (i, coefficients) in re.coefficients.chunks_exact(2).enumerate() {
+            let coefficient1 = to_unsigned_representative(coefficients[0]);
+            let coefficient2 = to_unsigned_representative(coefficients[1]);
 
-        let (coef1, coef2, coef3) = compress_coefficients_3(coefficient1, coefficient2);
-        serialized[3 * i] = coef1;
-        serialized[3 * i + 1] = coef2;
-        serialized[3 * i + 2] = coef3;
+            let (coef1, coef2, coef3) = compress_coefficients_3(coefficient1, coefficient2);
+            serialized[3 * i] = coef1;
+            serialized[3 * i + 1] = coef2;
+            serialized[3 * i + 2] = coef3;
+        }
     }
 
     serialized
@@ -77,13 +86,15 @@ pub(super) fn deserialize_to_uncompressed_ring_element(serialized: &[u8]) -> Pol
 
     let mut re = PolynomialRingElement::ZERO;
 
-    for (i, bytes) in serialized.chunks_exact(3).enumerate() {
-        let byte1 = bytes[0] as FieldElement;
-        let byte2 = bytes[1] as FieldElement;
-        let byte3 = bytes[2] as FieldElement;
+    cloop! {
+        for (i, bytes) in serialized.chunks_exact(3).enumerate() {
+            let byte1 = bytes[0] as FieldElement;
+            let byte2 = bytes[1] as FieldElement;
+            let byte3 = bytes[2] as FieldElement;
 
-        re.coefficients[2 * i] = (byte2 & 0x0F) << 8 | (byte1 & 0xFF);
-        re.coefficients[2 * i + 1] = (byte3 << 4) | ((byte2 >> 4) & 0x0F);
+            re.coefficients[2 * i] = (byte2 & 0x0F) << 8 | (byte1 & 0xFF);
+            re.coefficients[2 * i + 1] = (byte3 << 4) | ((byte2 >> 4) & 0x0F);
+        }
     }
 
     re
@@ -93,23 +104,25 @@ pub(super) fn deserialize_to_uncompressed_ring_element(serialized: &[u8]) -> Pol
 fn compress_then_serialize_10<const OUT_LEN: usize>(re: PolynomialRingElement) -> [u8; OUT_LEN] {
     let mut serialized = [0u8; OUT_LEN];
 
-    for (i, coefficients) in re.coefficients.chunks_exact(4).enumerate() {
-        let coefficient1 =
-            compress_ciphertext_coefficient(10, to_unsigned_representative(coefficients[0]));
-        let coefficient2 =
-            compress_ciphertext_coefficient(10, to_unsigned_representative(coefficients[1]));
-        let coefficient3 =
-            compress_ciphertext_coefficient(10, to_unsigned_representative(coefficients[2]));
-        let coefficient4 =
-            compress_ciphertext_coefficient(10, to_unsigned_representative(coefficients[3]));
-
-        let (coef1, coef2, coef3, coef4, coef5) =
-            compress_coefficients_10(coefficient1, coefficient2, coefficient3, coefficient4);
-        serialized[5 * i] = coef1;
-        serialized[5 * i + 1] = coef2;
-        serialized[5 * i + 2] = coef3;
-        serialized[5 * i + 3] = coef4;
-        serialized[5 * i + 4] = coef5;
+    cloop! {
+        for (i, coefficients) in re.coefficients.chunks_exact(4).enumerate() {
+            let coefficient1 =
+                compress_ciphertext_coefficient(10, to_unsigned_representative(coefficients[0]));
+            let coefficient2 =
+                compress_ciphertext_coefficient(10, to_unsigned_representative(coefficients[1]));
+            let coefficient3 =
+                compress_ciphertext_coefficient(10, to_unsigned_representative(coefficients[2]));
+            let coefficient4 =
+                compress_ciphertext_coefficient(10, to_unsigned_representative(coefficients[3]));
+
+            let (coef1, coef2, coef3, coef4, coef5) =
+                compress_coefficients_10(coefficient1, coefficient2, coefficient3, coefficient4);
+            serialized[5 * i] = coef1;
+            serialized[5 * i + 1] = coef2;
+            serialized[5 * i + 2] = coef3;
+            serialized[5 * i + 3] = coef4;
+            serialized[5 * i + 4] = coef5;
+        }
     }
 
     serialized
@@ -134,46 +147,48 @@ fn compress_coefficients_10(
 fn compress_then_serialize_11<const OUT_LEN: usize>(re: PolynomialRingElement) -> [u8; OUT_LEN] {
     let mut serialized = [0u8; OUT_LEN];
 
-    for (i, coefficients) in re.coefficients.chunks_exact(8).enumerate() {
-        let coefficient1 =
-            compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[0]));
-        let coefficient2 =
-            compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[1]));
-        let coefficient3 =
-            compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[2]));
-        let coefficient4 =
-            compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[3]));
-        let coefficient5 =
-            compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[4]));
-        let coefficient6 =
-            compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[5]));
-        let coefficient7 =
-            compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[6]));
-        let coefficient8 =
-            compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[7]));
-
-        let (coef1, coef2, coef3, coef4, coef5, coef6, coef7, coef8, coef9, coef10, coef11) =
-            compress_coefficients_11(
-                coefficient1,
-                coefficient2,
-                coefficient3,
-                coefficient4,
-                coefficient5,
-                coefficient6,
-                coefficient7,
-                coefficient8,
-            );
-        serialized[11 * i] = coef1;
-        serialized[11 * i + 1] = coef2;
-        serialized[11 * i + 2] = coef3;
-        serialized[11 * i + 3] = coef4;
-        serialized[11 * i + 4] = coef5;
-        serialized[11 * i + 5] = coef6;
-        serialized[11 * i + 6] = coef7;
-        serialized[11 * i + 7] = coef8;
-        serialized[11 * i + 8] = coef9;
-        serialized[11 * i + 9] = coef10;
-        serialized[11 * i + 10] = coef11;
+    cloop! {
+        for (i, coefficients) in re.coefficients.chunks_exact(8).enumerate() {
+            let coefficient1 =
+                compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[0]));
+            let coefficient2 =
+                compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[1]));
+            let coefficient3 =
+                compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[2]));
+            let coefficient4 =
+                compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[3]));
+            let coefficient5 =
+                compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[4]));
+            let coefficient6 =
+                compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[5]));
+            let coefficient7 =
+                compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[6]));
+            let coefficient8 =
+                compress_ciphertext_coefficient(11, to_unsigned_representative(coefficients[7]));
+
+            let (coef1, coef2, coef3, coef4, coef5, coef6, coef7, coef8, coef9, coef10, coef11) =
+                compress_coefficients_11(
+                    coefficient1,
+                    coefficient2,
+                    coefficient3,
+                    coefficient4,
+                    coefficient5,
+                    coefficient6,
+                    coefficient7,
+                    coefficient8,
+                );
+            serialized[11 * i] = coef1;
+            serialized[11 * i + 1] = coef2;
+            serialized[11 * i + 2] = coef3;
+            serialized[11 * i + 3] = coef4;
+            serialized[11 * i + 4] = coef5;
+            serialized[11 * i + 5] = coef6;
+            serialized[11 * i + 6] = coef7;
+            serialized[11 * i + 7] = coef8;
+            serialized[11 * i + 8] = coef9;
+            serialized[11 * i + 9] = coef10;
+            serialized[11 * i + 10] = coef11;
+        }
     }
 
     serialized
@@ -225,13 +240,15 @@ pub(super) fn compress_then_serialize_ring_element_u<
 fn compress_then_serialize_4<const OUT_LEN: usize>(re: PolynomialRingElement) -> [u8; OUT_LEN] {
     let mut serialized = [0u8; OUT_LEN];
 
-    for (i, coefficients) in re.coefficients.chunks_exact(2).enumerate() {
-        let coefficient1 =
-            compress_ciphertext_coefficient(4, to_unsigned_representative(coefficients[0])) as u8;
-        let coefficient2 =
-            compress_ciphertext_coefficient(4, to_unsigned_representative(coefficients[1])) as u8;
+    cloop! {
+        for (i, coefficients) in re.coefficients.chunks_exact(2).enumerate() {
+            let coefficient1 =
+                compress_ciphertext_coefficient(4, to_unsigned_representative(coefficients[0])) as u8;
+            let coefficient2 =
+                compress_ciphertext_coefficient(4, to_unsigned_representative(coefficients[1])) as u8;
 
-        serialized[i] = (coefficient2 << 4) | coefficient1;
+            serialized[i] = (coefficient2 << 4) | coefficient1;
+        }
     }
 
     serialized
@@ -241,39 +258,41 @@ fn compress_then_serialize_4<const OUT_LEN: usize>(re: PolynomialRingElement) ->
 fn compress_then_serialize_5<const OUT_LEN: usize>(re: PolynomialRingElement) -> [u8; OUT_LEN] {
     let mut serialized = [0u8; OUT_LEN];
 
-    for (i, coefficients) in re.coefficients.chunks_exact(8).enumerate() {
-        let coefficient1 =
-            compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[0])) as u8;
-        let coefficient2 =
-            compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[1])) as u8;
-        let coefficient3 =
-            compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[2])) as u8;
-        let coefficient4 =
-            compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[3])) as u8;
-        let coefficient5 =
-            compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[4])) as u8;
-        let coefficient6 =
-            compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[5])) as u8;
-        let coefficient7 =
-            compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[6])) as u8;
-        let coefficient8 =
-            compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[7])) as u8;
-
-        let (coef1, coef2, coef3, coef4, coef5) = compress_coefficients_5(
-            coefficient2,
-            coefficient1,
-            coefficient4,
-            coefficient3,
-            coefficient5,
-            coefficient7,
-            coefficient6,
-            coefficient8,
-        );
-        serialized[5 * i] = coef1;
-        serialized[5 * i + 1] = coef2;
-        serialized[5 * i + 2] = coef3;
-        serialized[5 * i + 3] = coef4;
-        serialized[5 * i + 4] = coef5;
+    cloop! {
+        for (i, coefficients) in re.coefficients.chunks_exact(8).enumerate() {
+            let coefficient1 =
+                compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[0])) as u8;
+            let coefficient2 =
+                compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[1])) as u8;
+            let coefficient3 =
+                compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[2])) as u8;
+            let coefficient4 =
+                compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[3])) as u8;
+            let coefficient5 =
+                compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[4])) as u8;
+            let coefficient6 =
+                compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[5])) as u8;
+            let coefficient7 =
+                compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[6])) as u8;
+            let coefficient8 =
+                compress_ciphertext_coefficient(5, to_unsigned_representative(coefficients[7])) as u8;
+
+            let (coef1, coef2, coef3, coef4, coef5) = compress_coefficients_5(
+                coefficient2,
+                coefficient1,
+                coefficient4,
+                coefficient3,
+                coefficient5,
+                coefficient7,
+                coefficient6,
+                coefficient8,
+            );
+            serialized[5 * i] = coef1;
+            serialized[5 * i + 1] = coef2;
+            serialized[5 * i + 2] = coef3;
+            serialized[5 * i + 3] = coef4;
+            serialized[5 * i + 4] = coef5;
+        }
     }
 
     serialized
@@ -320,20 +339,22 @@ fn deserialize_then_decompress_10(serialized: &[u8]) -> PolynomialRingElement {
 
     let mut re = PolynomialRingElement::ZERO;
 
-    for (i, bytes) in serialized.chunks_exact(5).enumerate() {
-        let byte1 = bytes[0] as FieldElement;
-        let byte2 = bytes[1] as FieldElement;
-        let byte3 = bytes[2] as FieldElement;
-        let byte4 = bytes[3] as FieldElement;
-        let byte5 = bytes[4] as FieldElement;
-
-        let (coefficient1, coefficient2, coefficient3, coefficient4) =
-            decompress_coefficients_10(byte2, byte1, byte3, byte4, byte5);
-
-        re.coefficients[4 * i] = decompress_ciphertext_coefficient(10, coefficient1);
-        re.coefficients[4 * i + 1] = decompress_ciphertext_coefficient(10, coefficient2);
-        re.coefficients[4 * i + 2] = decompress_ciphertext_coefficient(10, coefficient3);
-        re.coefficients[4 * i + 3] = decompress_ciphertext_coefficient(10, coefficient4);
+    cloop! {
+        for (i, bytes) in serialized.chunks_exact(5).enumerate() {
+            let byte1 = bytes[0] as FieldElement;
+            let byte2 = bytes[1] as FieldElement;
+            let byte3 = bytes[2] as FieldElement;
+            let byte4 = bytes[3] as FieldElement;
+            let byte5 = bytes[4] as FieldElement;
+
+            let (coefficient1, coefficient2, coefficient3, coefficient4) =
+                decompress_coefficients_10(byte2, byte1, byte3, byte4, byte5);
+
+            re.coefficients[4 * i] = decompress_ciphertext_coefficient(10, coefficient1);
+            re.coefficients[4 * i + 1] = decompress_ciphertext_coefficient(10, coefficient2);
+            re.coefficients[4 * i + 2] = decompress_ciphertext_coefficient(10, coefficient3);
+            re.coefficients[4 * i + 3] = decompress_ciphertext_coefficient(10, coefficient4);
+        }
     }
 
     re
@@ -360,40 +381,42 @@ fn deserialize_then_decompress_11(serialized: &[u8]) -> PolynomialRingElement {
 
     let mut re = PolynomialRingElement::ZERO;
 
-    for (i, bytes) in serialized.chunks_exact(11).enumerate() {
-        let byte1 = bytes[0] as FieldElement;
-        let byte2 = bytes[1] as FieldElement;
-        let byte3 = bytes[2] as FieldElement;
-        let byte4 = bytes[3] as FieldElement;
-        let byte5 = bytes[4] as FieldElement;
-        let byte6 = bytes[5] as FieldElement;
-        let byte7 = bytes[6] as FieldElement;
-        let byte8 = bytes[7] as FieldElement;
-        let byte9 = bytes[8] as FieldElement;
-        let byte10 = bytes[9] as FieldElement;
-        let byte11 = bytes[10] as FieldElement;
-
-        let (
-            coefficient1,
-            coefficient2,
-            coefficient3,
-            coefficient4,
-            coefficient5,
-            coefficient6,
-            coefficient7,
-            coefficient8,
-        ) = decompress_coefficients_11(
-            byte2, byte1, byte3, byte5, byte4, byte6, byte7, byte9, byte8, byte10, byte11,
-        );
-
-        re.coefficients[8 * i] = decompress_ciphertext_coefficient(11, coefficient1);
-        re.coefficients[8 * i + 1] = decompress_ciphertext_coefficient(11, coefficient2);
-        re.coefficients[8 * i + 2] = decompress_ciphertext_coefficient(11, coefficient3);
-        re.coefficients[8 * i + 3] = decompress_ciphertext_coefficient(11, coefficient4);
-        re.coefficients[8 * i + 4] = decompress_ciphertext_coefficient(11, coefficient5);
-        re.coefficients[8 * i + 5] = decompress_ciphertext_coefficient(11, coefficient6);
-        re.coefficients[8 * i + 6] = decompress_ciphertext_coefficient(11, coefficient7);
-        re.coefficients[8 * i + 7] = decompress_ciphertext_coefficient(11, coefficient8);
+    cloop! {
+        for (i, bytes) in serialized.chunks_exact(11).enumerate() {
+            let byte1 = bytes[0] as FieldElement;
+            let byte2 = bytes[1] as FieldElement;
+            let byte3 = bytes[2] as FieldElement;
+            let byte4 = bytes[3] as FieldElement;
+            let byte5 = bytes[4] as FieldElement;
+            let byte6 = bytes[5] as FieldElement;
+            let byte7 = bytes[6] as FieldElement;
+            let byte8 = bytes[7] as FieldElement;
+            let byte9 = bytes[8] as FieldElement;
+            let byte10 = bytes[9] as FieldElement;
+            let byte11 = bytes[10] as FieldElement;
+
+            let (
+                coefficient1,
+                coefficient2,
+                coefficient3,
+                coefficient4,
+                coefficient5,
+                coefficient6,
+                coefficient7,
+                coefficient8,
+            ) = decompress_coefficients_11(
+                byte2, byte1, byte3, byte5, byte4, byte6, byte7, byte9, byte8, byte10, byte11,
+            );
+
+            re.coefficients[8 * i] = decompress_ciphertext_coefficient(11, coefficient1);
+            re.coefficients[8 * i + 1] = decompress_ciphertext_coefficient(11, coefficient2);
+            re.coefficients[8 * i + 2] = decompress_ciphertext_coefficient(11, coefficient3);
+            re.coefficients[8 * i + 3] = decompress_ciphertext_coefficient(11, coefficient4);
+            re.coefficients[8 * i + 4] = decompress_ciphertext_coefficient(11, coefficient5);
+            re.coefficients[8 * i + 5] = decompress_ciphertext_coefficient(11, coefficient6);
+            re.coefficients[8 * i + 6] = decompress_ciphertext_coefficient(11, coefficient7);
+            re.coefficients[8 * i + 7] = decompress_ciphertext_coefficient(11, coefficient8);
+        }
     }
 
     re
@@ -454,11 +477,13 @@ fn deserialize_then_decompress_4(serialized: &[u8]) -> PolynomialRingElement {
 
     let mut re = PolynomialRingElement::ZERO;
 
-    for (i, byte) in serialized.iter().enumerate() {
-        let (coefficient1, coefficient2) = decompress_coefficients_4(byte);
+    cloop! {
+        for (i, byte) in serialized.iter().enumerate() {
+            let (coefficient1, coefficient2) = decompress_coefficients_4(byte);
 
-        re.coefficients[2 * i] = decompress_ciphertext_coefficient(4, coefficient1);
-        re.coefficients[2 * i + 1] = decompress_ciphertext_coefficient(4, coefficient2);
+            re.coefficients[2 * i] = decompress_ciphertext_coefficient(4, coefficient1);
+            re.coefficients[2 * i + 1] = decompress_ciphertext_coefficient(4, coefficient2);
+        }
     }
 
     re
@@ -477,32 +502,34 @@ fn deserialize_then_decompress_5(serialized: &[u8]) -> PolynomialRingElement {
 
     let mut re = PolynomialRingElement::ZERO;
 
-    for (i, bytes) in serialized.chunks_exact(5).enumerate() {
-        let byte1 = bytes[0] as FieldElement;
-        let byte2 = bytes[1] as FieldElement;
-        let byte3 = bytes[2] as FieldElement;
-        let byte4 = bytes[3] as FieldElement;
-        let byte5 = bytes[4] as FieldElement;
-
-        let (
-            coefficient1,
-            coefficient2,
-            coefficient3,
-            coefficient4,
-            coefficient5,
-            coefficient6,
-            coefficient7,
-            coefficient8,
-        ) = decompress_coefficients_5(byte1, byte2, byte3, byte4, byte5);
-
-        re.coefficients[8 * i] = decompress_ciphertext_coefficient(5, coefficient1);
-        re.coefficients[8 * i + 1] = decompress_ciphertext_coefficient(5, coefficient2);
-        re.coefficients[8 * i + 2] = decompress_ciphertext_coefficient(5, coefficient3);
-        re.coefficients[8 * i + 3] = decompress_ciphertext_coefficient(5, coefficient4);
-        re.coefficients[8 * i + 4] = decompress_ciphertext_coefficient(5, coefficient5);
-        re.coefficients[8 * i + 5] = decompress_ciphertext_coefficient(5, coefficient6);
-        re.coefficients[8 * i + 6] = decompress_ciphertext_coefficient(5, coefficient7);
-        re.coefficients[8 * i + 7] = decompress_ciphertext_coefficient(5, coefficient8);
+    cloop! {
+        for (i, bytes) in serialized.chunks_exact(5).enumerate() {
+            let byte1 = bytes[0] as FieldElement;
+            let byte2 = bytes[1] as FieldElement;
+            let byte3 = bytes[2] as FieldElement;
+            let byte4 = bytes[3] as FieldElement;
+            let byte5 = bytes[4] as FieldElement;
+
+            let (
+                coefficient1,
+                coefficient2,
+                coefficient3,
+                coefficient4,
+                coefficient5,
+                coefficient6,
+                coefficient7,
+                coefficient8,
+            ) = decompress_coefficients_5(byte1, byte2, byte3, byte4, byte5);
+
+            re.coefficients[8 * i] = decompress_ciphertext_coefficient(5, coefficient1);
+            re.coefficients[8 * i + 1] = decompress_ciphertext_coefficient(5, coefficient2);
+            re.coefficients[8 * i + 2] = decompress_ciphertext_coefficient(5, coefficient3);
+            re.coefficients[8 * i + 3] = decompress_ciphertext_coefficient(5, coefficient4);
+            re.coefficients[8 * i + 4] = decompress_ciphertext_coefficient(5, coefficient5);
+            re.coefficients[8 * i + 5] = decompress_ciphertext_coefficient(5, coefficient6);
+            re.coefficients[8 * i + 6] = decompress_ciphertext_coefficient(5, coefficient7);
+            re.coefficients[8 * i + 7] = decompress_ciphertext_coefficient(5, coefficient8);
+        }
     }
 
     re