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\section*{Homework 5}

\begin{enumerate}

\item What can attacker that controls the network do to a communication

between a client and a server?

\item Before starting a TCP connection, client and servers

perform a three-way handshake. Describe how can this three-way

handshake can be abused by an attacker? 

\item Consider the following simple mutual authentication protocol:

\begin{center}

\begin{tabular}{ll}

$A \to B$: & $N_a$\\  

$B \to A$: & $\{N_a, N_b\}_{K_{ab}}$\\

$A \to B$: & $N_b$\\

\end{tabular}

\end{center}

Explain how an attacker $B'$ can launch an impersonation attack by 

intercepting all messages for $B$ and make $A$ decrypt her own challenges.

\item What is the main problem with the following

authentication protocol where $A$ sends $B$ mutually

shared key?

\begin{center}

$A \to B: K_{AB}$

\end{center}

\item Nonces are unpredicatble random numbers used in protocols.

Consider the following protocol

\begin{center}

\begin{tabular}{ll}

$A \to B$: & $N$\\  

$B \to A$: & $\{N + 1\}_{K_{ab}}$\\

\end{tabular}

\end{center}

Write down three facts that $A$ can infer after this protocol has been

successfully completed?

\item (\textbf{Deleted}: same as 2) Before starting a TCP connection, client and servers

perform a three-way handshake:

\begin{center}

\begin{tabular}{rl}

$A \rightarrow S$: & SYN\\

$S \rightarrow A$: & SYN-ACK\\

$A \rightarrow S$: & ACK\\

\end{tabular}

\end{center}

How can this protocol be abused causing trouble on the server?

\item Write down a protocol which establishes a secret key

between $A$ and $B$ using a mutually trusted third party $S$.

You can assume $A$ and $S$, respectfully $B$ and $S$, share 

secret keys.

\item Consider the following protocol between a car and a

key transponder: 

\begin{enumerate}

\item $C$ generates a random number $N$

\item $C$ calculates $(F,G) = \{N\}_K$

\item $C \to T$: $N, F$

\item $T$ calculates $(F',G') = \{N\}_K$

\item $T$ checks that $F = F'$

\item $T \to C$: $N, G'$

\item $C$ checks that $G = G'$

\end{enumerate}

In Step 2 and 4 a message is split into two halves. Explain

what the purpose of this split is?  Assume the key $K$ is shared 

only between the car and the transponder.  Does the protocol 

achieve that the transponder $T$ authenticates itself to the car

$C$? Does the car authenticate itself to the transponder?

\end{enumerate}

\end{document}

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