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\section{Security goals}
\subsection*{a)}
Concerning her home, Alice might have the following security goals which Mallory violated by physically breaking in:
\begin{itemize}
\item\textbf{Confidentiality}: Mallory might have stolen \textit{private data}, like a love letter, which is now at risk of being disclosed.
\item\textbf{Integrity}: Mallory might have manipulated a number of things in Alice's home, like the router configuration or the fire alarm. Depending on Mallory's intentions all things (including \textit{private} and \textit{valuable} data) inside her home and Alice's life itself might be at risk.
\item\textbf{Availibility}: Some of Alice's things, like household appliances or jewelry, might be missing.
\end{itemize}
\subsection*{b)}
\begin{itemize}
\item Alice could have \textit{prevented} the breaking by having a stronger door, a better lock, or a guard outside her home. She also could have kept the location of her home private.
\item Alice could have had alarms inplace to \textit{detect} the break-in when it was happening and intervene.
\item Additionally, Alice might have have had security cameras which might have captured the break-in for later \textit{analysis} to prevent break-ins in the future.
\end{itemize}
\section{Simple combinatorics}
Let \(\mathbb{K}\) be the keyspace \textit{K} the key.
\subsection*{a) ROT13}
\texttt{ROT13} is the shift of an alphabet by 13 letters. Thereby it's a special case of the \textit{caesar} cipher (shift of an alphabet by \textit{k} letters). Thus 13 is the key and \( |\mathbb{K}| =1\).
\subsection*{b) Vigenère Cipher}
Let \textit{k} be the lenght of the chosen alphabet. Let \( |K| = n \). Thus \(\mathbb{K}= k^n \).
