diff --git a/content/sd/0007-seguranca-e-criptografia.md b/content/sd/0007-seguranca-e-criptografia.md new file mode 100644 index 00000000..a7d8012c --- /dev/null +++ b/content/sd/0007-seguranca-e-criptografia.md @@ -0,0 +1,307 @@ +--- +title: Segurança e Criptografia +description: > + Chaves simétricas e assimétricas. + + Assinaturas digitais e certificados. + + Canais seguros. +path: /sd/seguranca-e-criptografia +type: content +--- + +# Segurança e Criptografia + +```toc + +``` + +## Mecanismos Básicos de Comunicação Segura + +Iremos abordar como é possível comunicar com outra entidade de forma segura, +garantindo que não existem intrusos a intercetar a conversa, a modificar o +conteúdo das mensagens ou a fazer-se passar por um de nós. + +**Algumas notas prévias**: + +- Iremos designar por $A$ e $B$ as entidades que pretendem estabelecer um canal seguro + (tipicamente designadas por "Alice" e "Bob") +- Uma entidade que queira escutar ou perturbar a comunicação será designada por $T$ + (tipicamente designada por "Trudy", de "intruder") + +Vamos estudar de seguida mecanismos básicos utilizados para tornar um canal seguro. + +### Chaves simétricas + +No contexto de uso de uma chave simétrica existe: + +- uma chave secreta $K_S$ conhecida por $A$ e $B$ +- um texto $m$ (_plaintext_) +- uma função de cifra que produz um texto cifrado (_ciphertext_) a partir de $m$ + e $K_S$, designada $K_S(m)$ + - **NOTA**: a chave em si não cifra a mensagem, esta é utilizada por um algoritmo +- uma função para decifrar o texto cifrado que usa a mesma chave: $m = K_S(K_S(m))$ + +![Uso de chave simétrica](./assets/0007-symmetrical-key.svg#dark=3) + +Podemos nestas condições criar um canal seguro entre $A$ e $B$ desde que estes +conheçam previamente a chave, mas **como é que a distribuição da chave é feita**? +Por exemplo, pode ser trocada fisicamente ou então derivada de uma palavra chave +combinada previamente. + +Existem **dois grandes problemas** com o uso desta chave: + +- Como podemos ter a certeza de que estamos de facto a ler o que foi enviado pela + outra entidade? +- Um intruso $T$ pode simplesmente escutar o que $A$ envia para $B$ e reenviar + exatamente a mesma mensagem a $B$ (fazendo com que $B$ execute uma transferência + bancária duas vezes por exemplo) + +:::tip[Fatores que influenciam a segurança da chave] + +A segurança depende não só do algoritmo de cifra usado como também do tamanho +da própria chave (nº _bits_) e do poder computacional do adversário. + +::: + +### Chaves assimétricas + +Agora em vez de termos apenas uma chave partilhada, cada entidade passa a possuir +um par de chaves ($K_+$, $K_-$), designadas por chave pública e privada, +respectivamente. Estas chaves apresentam as seguintes propriedades: + +- a chave pública $K_+$ é partilhada com as outras entidades +- a chave privada $K_-$ é mantida secreta +- $K_+(K_-(m)) = m$ +- $K_-(K_+(m)) = m$ +- não é possível obter uma chave a partir da outra + +A utilização destas chaves permite que, ao enviarmos uma mensagem para $B$, se a +encriptarmos com a chave $K_{B+}$, somente $B$, com a sua chave privada $K_{B-}$, +será capaz de decifrá-la. Para além disso, se $A$ desejar provar a $B$ que o texto +$m$ foi produzido por si, basta encriptar $m$ com $K_{A-}$ e $B$ decifrar com +$K_{A+}$. Se for bem sucedido, então $m$ foi garantidamente enviado por $A$, já +que apenas este conhece $K_{A-}$. + +![Uso de chave assimétrica](./assets/0007-assymmetrical-key.svg#dark=3) + +O uso destas chaves tem no entanto uma grande desvantagem: **a criptografia assimétrica +é muito mais lenta do que a simétrica** (100 a 1000 vezes). +Por este motivo, é muito comum utilizar esta criptografia para negociar uma chave +simétrica durante a criação do canal seguro (de forma a garantir que estamos a +comunicar com a entidade certa), que será posteriormente utilizada na encriptação +de toda a comunicação (**método conhecido como "chave mista"**). +Exemplo: + +1. $A$ cria uma chave simétrica $K_S$ e cifra-a com $K_{B+}$ +2. Apenas $B$ consegue obter $K_S$ já que é o único que possui $K_{B-}$ + +:::warning[Perigo de divulgar a chave pública] + +Apesar da divulgação da chave pública parecer fácil visto que pode ser partilhada, +tem um perigo associado: +![intruso em chave assimétrica](./assets/0007-assymetrical-key-intruder.svg#dark=3) + +Este ataque é conhecido como **_"Men-in-the-middle attack"_**, onde o atacante +reencaminha (e possivelmente altera) secretamente as comunicações entre duas +entidades que acreditam estar a comunicar diretamente uma com a outra. + +::: + +:::tip[Criptografia RSA] + +Já abordámos em EMD um algoritmo de criptografia assimétrica, o [**RSA**](/emd/rsa). + +::: + +### Funções de Hash Criptográficas + +De forma a conseguirmos ter a **garantia que estamos a ler o que foi enviado** pelo +remetente, podemos utilizar uma **função de _hash_** e enviar o _hash_ do texto +(também conhecido como _"digest"_) juntamente com o mesmo. + +Dado um texto $m$, uma função de hash criptográfica cria um _hash_ de tamanho fixo +$H(m)$. +Estas funções apresentam uma propriedade fundamental que é ser computacionalmente +inviável encontrar em tempo útil outro texto $m'$ tal que $H(m') = H(m)$, ou seja, +**em termos práticos é impossível modificar o texto de forma a que tenha o mesmo +_hash_ que o original**. + +Para aumentar ainda mais a segurança do _hash_, podemos calculá-lo a partir do texto +e da chave privada (simétrica), em vez de apenas do texto. + +### _Nonce_ + +Um _nonce_ **é uma palavra chave única** que é utilizada para identificar uma troca +de mensagens e que **não é usada novamente** em comunicações posteriores. + +![Utilização de _nonce_](./assets/0007-nonce.svg#dark=3) + +O objetivo da utilização do _nonce_ é eliminar uma vulnerabilidade mencionada +anteriormente: um atacante pode simplesmente repetir as mensagens cifradas +(problema conhecido como _"replay attack"_). +Ao utilizar uma palavra chave única por comunicação, caso um atacante repita +as mensagens posteriormente, estas serão ignoradas pelo destinatário, pois este +sabe que se tratam de mensagens repetidas. + +O cálculo de um _nonce_ é tipicamente baseado numa das seguintes técnicas (ou +na sua combinação): + +- **_timestamps_** (segurança dependente da segurança do relógio da máquina) +- **números de sequência monotonicamente crescentes** (segurança dependente da capacidade + das máquinas memorizarem o último número usado) + +Os _nonces_ também podem ser utilizados para garantir que estamos a falar com a +entidade certa: + +- encriptamos o _nonce_ com uma chave +- esperamos que a outra entidade devolva uma versão modificada (determinista) do + _nonce_ enviado (por exemplo, _nonce_ + 1) +- como apenas a outra entidade detém a chave de forma a decifrar o que enviamos, + apenas esta consegue ler o _nonce_ enviado e modificá-lo como combinado + +![Confirmação de identidade com _nonce_](./assets/0007-nonce-identity-confirmation.svg#dark=3) + +## Mecanismos Avançados de Comunicação Segura + +Combinando todos os mecanismos abordados até agora, podemos obter outros mais +sofisticados, como por exemplo: + +- Assinaturas digitais +- Infra-estruturas de chaves públicas e certificados +- Troca segura de e-mails +- Canais seguros +- Sistemas de autenticação com _"single sign-on"_ + +### Assinaturas Digitais com Chave Simétrica + +$A$ e $B$ partilham uma chave $K_S$ e $A$ quer assinar um texto $m$ de forma a que +$B$ possa confirmar que $m$ foi gerado por $A$ (autenticidade) e que não foi alterado +durante o percurso (integridade). +Para tal: + +- $A$ cria uma versão estendida do texto ($m|K_S$), concatenando ao texto $m$ o + segredo $K_S$ +- $A$ usa uma função de _hash_ criptográfica para gerar o _digest_ da versão estendida + $S_m = H(m|K_S)$ +- $A$ envia ambos a $B$ +- $B$ verifica se $S_m = H(m|K_S)$ + +Este tipo de assinatura apenas pode ser usado entre duas entidades que partilham +um segredo e é tipicamente designado por **Message Authentication Code (MAC)** + +### Assinaturas Digitais com Chave Assimétrica + +$A$ tem $K_{A-}$ e $B$ conhece $K_{A+}$ (veremos como é que isto é possível com +certificados). $A$ quer assinar um texto $m$ de forma a que $B$ possa confirmar +a sua autenticidade e integridade, e que também **consiga provar a outro que a +mensagem $m$ foi de facto enviada por $A$ (não repúdio)**. +Para tal: + +- $A$ usa uma função de _hash_ criptográfica para gerar o _digest_ da mensagem $H(m)$ +- $A$ usa a sua chave privada $K_{A-}$ para cifrar $H(m)$ +- $K_{A-}(H(m))$ serve como assinatura de $m$ +- qualquer entidade pode usar a chave pública $K_{A+}$ para validar a assinatura + +### Infra-estruturas de chaves públicas e certificados + +Quando falámos de chaves assimétricas, vimos que [corriamos um +perigo](#chaves-assimétricas:~:text=PERIGO%20DE%20DIVULGAR%20A%20CHAVE%20P%C3%9ABLICA) +ao tentar descobrir a chave pública da outra entidade: estávamos suscetíveis ao +**_Men-in-the-middle attack_**. +Esta vulnerabilidade existe já que não conseguimos ter a certeza de que estamos +de facto a falar com a entidade pretendida, nem de verificar a autenticidade +da chave pública que nos é devolvida. + +Há duas formas de evitar este problema: + +- se soubermos de antemão a chave pública de $B$, enviamos-lhe a chave simétrica + cifrada com a sua chave pública (assim um intruso não consegue obter a + nossa chave e fazer-se passar por $B$) +- se existir um certificado digital que confirma que a chave que recebemos é de + facto a de $B$, $B$ pode enviar-nos o certificado + +As autoridades que emitem estes certificados denominam-se **_Certification Authorities_ +(CA)**. +Assume-se que a chave pública das CA's é previamente conhecida (normalmente os +_browsers_ trazem os certificados associados às CA's pré-instalados). + +Um certificado digital consiste num documento que associa uma entidade a uma chave +pública e que está assinado pela CA. + +Após verificarmos que o certificado recebido está assinado pela CA, ainda precisamos +de garantir que a entidade com a qual estamos a contactar é de facto legítima antes de +negociarmos uma chave simétrica para usar durante a sessão, e para tal podemos usar +a [estratégia mencionada previamente que utiliza um _nonce_](#nonce): + +- ciframos um _nonce_ com a chave pública retirada do certificado +- esperamos receber uma versão modificada do mesmo + +Por vezes, existe a necessidade de invalidar um certo certificado. Seria caro, se +não impossível, rastrear e apagar todas as cópias locais do certificado. A solução +mais comum para este problema é incluir uma data de validade no próprio certificado, +sendo que a receção de certificados expirados deve ser rejeitada (o titular do +certificado deve solicitar a renovação do mesmo). + +### Troca segura de e-mails + +Um exemplo de sistema seguro de troca de e-mails é o **PGP**, _Pretty Good Privacy_: + +- cada utilizador possui um par de chaves simétricas +- divulga a sua chave pública de forma a que outros possam ter acesso e confiança + de que lhe pertence +- **para garantir que um e-mail não é alterado**: + - gera uma assinatura criptográfica do conteúdo e assina-a com a sua chave privada + - o destinatário pode obter o _digest_ original e confrontá-lo com o que é gerado + pelo conteúdo que recebeu +- **para garantir que apenas o destinatário lê o e-mail**: + - cria uma chave simétrica para cifrar o conteúdo do e-mail + - cifra essa chave com a chave pública do destinatário + - envia o conteúdo cifrado juntamente com a chave simétrica cifrada + - como o destinatário é o único que possui a sua chave privada, apenas este + consegue obter a chave simétrica para decifrar o conteúdo do e-mail + +### Canais seguros (SSL/TLS) + +Seja $A$ um _browser_ e $B$ um servidor _WWW_ que pretendem criar um canal seguro. +Para tal, podem usar TLS (_Transport Layer Security_) ou SSL (_Secure Sockets Layer_, +substituído pelo TLS). + +Iremos apresentar de uma forma simplificada o funcionamento do protocolo SSL: + +- $A$ envia um pedido a $B$ solicitando a sua chave pública, juntamente com um + _nonce_, que será usado para tornar a ligação única +- $B$ devolve um certificado com a sua chave pública, juntamente com outro _nonce_ +- $A$ verifica a validade do certificado, abortando a ligação caso falhe +- $A$ utiliza o _nonce_ recebido para gerar um segredo (designado por _"master + secret"_) que irá partilhar com $B$ +- $A$ cifra o segredo com a chave pública de $B$ e envia-lho +- $B$ fica a conhecer também o _"master secret"_ +- $A$ e $B$ criam de forma determinista um conjunto de chaves simétricas que usam + para concretizar o canal seguro + - estas chaves são geradas a partir do _"master secret"_ e dos _nonces_ trocados + - são criadas 4 chaves: + - $K_C =$ chave usada para cifrar os dados enviados do cliente para o servidor + - $M_C =$ chave para assinar, com um _MAC_, os dados enviados do cliente para + o servidor + - $K_S =$ chave usada para cifrar os dados enviados do servidor para o cliente + - $M_S =$ chave para assinar, com um _MAC_, os dados enviados do servidor para + o cliente +- os dados trocados no canal são agrupados em blocos designados por _"records"_ +- cada _record_ é marcado com um campo que designa o seu tipo + - existe um tipo de _record_ específico para fechar a ligação +- cada _record_ é assinado pelo emissor com um _MAC_ + - para gerar o _MAC_ de um _record_, o emissor usa a sua chave $M$, o tipo do + _block_ e um número de sequência + - _MAC_ $= \text{Hash(record||M||type||sequence\_number)}$ + - impedindo assim que um _record_ seja alterado ou reordenado dentro de uma + sequência sem que isso seja detetado +- os _records_ são ainda cifrados antes de serem enviados, para assegurar a + confidencialidade + +## Referências + +- Coulouris et al - Distributed Systems: Concepts and Design (5th Edition) + - Secções 11.1 e 11.2 +- Departamento de Engenharia Informática - Slides de Sistemas Distribuídos (2023/2024) + - SlidesTagus-Aula11 diff --git a/content/sd/assets/0007-assymetrical-key-intruder.svg b/content/sd/assets/0007-assymetrical-key-intruder.svg new file mode 100755 index 00000000..01c2bb2b --- /dev/null +++ b/content/sd/assets/0007-assymetrical-key-intruder.svg @@ -0,0 +1,21 @@ + + + + + + + + TChave pública de B?AChave pública de B?BKt+Kb+ \ No newline at end of file diff --git a/content/sd/assets/0007-assymmetrical-key.svg b/content/sd/assets/0007-assymmetrical-key.svg new file mode 100755 index 00000000..15aea099 --- 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