68 lines
1.8 KiB
TeX
68 lines
1.8 KiB
TeX
\documentclass[12pt,a4paper,german]{article}
|
|
\usepackage{url}
|
|
%\usepackage{graphics}
|
|
\usepackage{times}
|
|
\usepackage[T1]{fontenc}
|
|
\usepackage{ngerman}
|
|
\usepackage[latin1]{inputenc}
|
|
\usepackage{geometry}
|
|
\usepackage{amsfonts}
|
|
\usepackage{graphicx}
|
|
\usepackage{epsfig}
|
|
\usepackage{paralist}
|
|
\geometry{left=2.0cm,textwidth=17cm,top=3.5cm,textheight=23cm}
|
|
|
|
%%%%%%%%%% Fill out the the definitions %%%%%%%%%
|
|
\def \name {Vorname1 Nachname1} %
|
|
\def \matrikel {Matrikelnummer1} %
|
|
\def \pname {Vorname2 Nachname2} %
|
|
\def \pmatrikel {Matrikelnummer2} %
|
|
\def \gruppe {Gruppenkuerzel} %
|
|
\def \uebung {1} %
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
|
% DO NOT MODIFY THIS HEADER
|
|
\newcommand{\hwsol}{
|
|
\vspace*{-2cm}
|
|
\noindent \matrikel \quad \name \hfill Gruppe:\gruppe \\
|
|
\noindent \pmatrikel \quad \pname \\
|
|
\begin{center}{\Large \bf L\"osung f\"ur \"Ubung \# \uebung}\end{center}
|
|
}
|
|
|
|
\begin{document}
|
|
%Import header
|
|
\hwsol
|
|
|
|
|
|
\section*{Aufgabe 1}
|
|
\begin{enumerate}[(a)]
|
|
\item Beispielantwort
|
|
\item Hier k\"onnte deine Antwort auf diese Teilaufgabe stehen.
|
|
\item Für das Beispiel gilt $b_1=2^4+1=17=(10001)_2$ und $b_2=2^4-1=15=(1111)_2$.
|
|
\end{enumerate}
|
|
|
|
\section*{Aufgabe 2}
|
|
Notation von mathematischen L\"osungen:
|
|
\begin{eqnarray*}
|
|
r_{0} &=& \beta^{K_{X}} \bmod n\\
|
|
r_{1} &=& \alpha^{K_{X}+1} = \alpha \cdot \alpha^{K_{n}} = \alpha \cdot r_{1} \bmod p\\
|
|
r_{2} &=& (a_{1}-d \cdot q_{1}) \cdot z_{E}^{-1} \bmod p-1 \Leftrightarrow d = (x_{1}-s_{1} \cdot o_{E}) \cdot r_{1}^{-1} \bmod p-1\\
|
|
\end{eqnarray*}
|
|
|
|
\section*{Aufgabe 3}
|
|
\begin{center}
|
|
\begin{tabular}{|c|c|c|c|}
|
|
\hline
|
|
Tabellenzeile & Tabellenzeile & Tabellenzeile & Tabellenzeile \\
|
|
\hline
|
|
e & f & g & h \\
|
|
\hline
|
|
i & j & k & l \\
|
|
\hline
|
|
m & n & o & p \\
|
|
\hline
|
|
\end{tabular}
|
|
\end{center}
|
|
\end{document}
|
|
|