finished beginning of Hashfunktionen. Continue in Skript 2 on Page 55(61)

This commit is contained in:
Paul Lödige 2020-09-17 18:23:50 +02:00
parent fed0be3262
commit 5cd2b709c6
9 changed files with 121 additions and 100 deletions

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[2] (/home/paul/Documents/TH/Datensicherheit (DC)/Zusammenfassung/chapters/Substitutionsverfahren.tex
Kapitel 1.
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@ -27,6 +27,8 @@ leftsub = \glq,%
rightsub = \grq%
]{dirtytalk}
%bash functions
\usepackage{bashful}
%opening
\title{Zusammenfassung DC}
@ -55,6 +57,6 @@ rightsub = \grq%
\input{chapters/Blockverschlüsselungsverfahren.tex}
\input{chapters/Endliche Körper.tex}
\input{chapters/Hashfunktionen.tex}
\end{document}

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@ -94,9 +94,4 @@
\contentsline {section}{\numberline {6.5}Meet-in-the-Middle-Angriff}{28}%
\contentsline {section}{\numberline {6.6}AES (Advanced Encryption Standard)}{29}%
\contentsline {subsection}{\numberline {6.6.1}AES-128}{29}%
\contentsline {chapter}{\numberline {7}Endliche Körper $\mathbb {F}_{p^n}$}{31}%
\contentsline {section}{\numberline {7.1}Polynomdivision mit Rest}{31}%
\contentsline {section}{\numberline {7.2}Berechnung der Inversen}{31}%
\contentsline {section}{\numberline {7.3}$\mathbb {F}_2$}{31}%
\contentsline {subsection}{\numberline {7.3.1}Irreduzible Polynome über $\mathbb {F}_2$}{31}%
\contentsline {subsubsection}{\numberline {7.3.1.1}Irreduzibilität von $m(x)=x^8+x^4+x^3+x+1\in \mathbb {F}_2[x]$}{32}%
\contentsline {chapter}{\numberline {7}Hashfunktionen}{31}%

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@ -0,0 +1,10 @@
\chapter{Hashfunktionen}
Eine Hashfunktion dient als \say{digitaler Fingerabdruck} einer Nachricht.
Es wird für jede nachricht ein (nahezu) eindeutiger Wert einer festen Länge bestimmt.
Eine Abbildung $H:\mathscr M \rightarrow {\mathbb{Z}_2}^l$,
die von der Nachrichtenmenge $mathscr M$ auf eine Bitfolge mit fester Länge $l$ abbildet,
wird als Hashfunktion bezeichnet, falls gilt:
\begin{enumerate}
\item $H$ ist eine \say{Einwegsfunktion} (es gibt keinen effizienten Algorithmus zum Auffinden eines Urbilds)
\item $H$ ist \say{kollisionsfrei} (es gibt keinen effizienten Algorithmus zum finden weiterer Nachrichten mit dem gleichen Hashwert)
\end{enumerate}