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eneller
2026-05-10 22:58:51 +02:00
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crypto.tex
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@@ -214,7 +214,7 @@ The algorithm they came up with relies on modular arithmetic, which remains the
\begin{enumerate} \begin{enumerate}
\item Choose randomly and stochastically independet primes $p,q$ of similar size so that \item Choose randomly and stochastically independet primes $p,q$ of similar size so that
$0.1 < | \log_2 p - \log_2 q | < 30 $. \newline$0.1 < | \log_2 p - \log_2 q | < 30 $.
\item Calculate $ N= p \cdot q $ \item Calculate $ N= p \cdot q $
\item Compute Euler's totient function of $ \varphi (N) = (p-1) \cdot (q-1)$ which is kept secret. \item Compute Euler's totient function of $ \varphi (N) = (p-1) \cdot (q-1)$ which is kept secret.
\item Choose an integer $e$ so that $ 1 < e < \varphi (N) $ and $\gcd(e, \varphi(N)) =1$, i.e. $e$ and $\varphi(N)$ \item Choose an integer $e$ so that $ 1 < e < \varphi (N) $ and $\gcd(e, \varphi(N)) =1$, i.e. $e$ and $\varphi(N)$
@@ -227,7 +227,14 @@ The algorithm they came up with relies on modular arithmetic, which remains the
Trust on the web with untrusted channels fundamentally remains an unsolved issue, Trust on the web with untrusted channels fundamentally remains an unsolved issue,
though depending on the threat model, everyday communications can be considered relatively secure from non-APT actors. though depending on the threat model, everyday communications can be considered relatively secure from non-APT actors.
A typical cipher suite employed by TLS could look like the following: A typical cipher suite employed by TLS could look like the following:
$$\ub{ECDHE}{Key exchange}-\ub{ECDSA}{authentication}-\ub{AES128}{encryption}-\ub{GCM}{Galois/counter mode}-\ub{SHA256}{hashing} $$ $$\ub{ECDHE}{Key exchange}-\ub{ECDSA}{authentication}-\ub{AES128}{encryption}-\ub{GCM}{Cipher operation mode}-\ub{SHA256}{hashing} $$
\begin{itemize}
\item \textbf{ECDHE} Elliptic Curve Diffie Hellman Exchange
\item \textbf{ECDSA} Elliptic Curve Digital Signing Algorithm
\item \textbf{AES128} 128-Bit \acrfull{AES} symmetric encryption
\item \textbf{GCM} Galois Counter Mode
\item \textbf{SHA256} Secure Hash Algorithm
\end{itemize}
\cite{enwiki:ciphersuite,enwiki:galoismode} \cite{enwiki:ciphersuite,enwiki:galoismode}
%\printglossary[type=\acronymtype] %\printglossary[type=\acronymtype]
%\printglossary %\printglossary