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(/usr/share/texmf-dist/tex/latex/jknapltx/ursfs.fd File: ursfs.fd 1998/03/24 rsfs font definition file (jk) ) [1 @@ -288,10 +310,10 @@ File: ursfs.fd 1998/03/24 rsfs font definition file (jk) {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] (/home/paul/Documents/TH/Datensicherheit (DC)/Zusammenfassung/Zusammenfassung_DC.toc [1 ]) -\tf@toc=\write3 +\tf@toc=\write4 [2] (/home/paul/Documents/TH/Datensicherheit (DC)/Zusammenfassung/chapters/Substitutionsverfahren.tex Kapitel 1. -<./images/Skytale.png, id=22, 614.6965pt x 351.3125pt> +<./images/Skytale.png, id=20, 614.6965pt x 351.3125pt> File: ./images/Skytale.png Graphic file (type png) Package pdftex.def Info: ./images/Skytale.png used on input line 6. @@ -304,7 +326,7 @@ Underfull \hbox (badness 10000) in paragraph at lines 11--12 [3 ] -<./images/Vignère-Verfahren.png, id=33, 444.41896pt x 257.5138pt> +<./images/Vignère-Verfahren.png, id=31, 444.41896pt x 257.5138pt> File: ./images/Vignère-Verfahren.png Graphic file (type png) Package pdftex.def Info: ./images/Vignère-Verfahren.png used on input line 50. @@ -556,30 +578,37 @@ File: ./images/AES S-Box.png Graphic file (type png) Package pdftex.def Info: ./images/AES S-Box.png used on input line 196. 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PDF statistics: - 244 PDF objects out of 1000 (max. 8388607) - 157 compressed objects within 2 object streams + 241 PDF objects out of 1000 (max. 8388607) + 155 compressed objects within 2 object streams 0 named destinations out of 1000 (max. 500000) 116 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/Zusammenfassung_DC.pdf b/Zusammenfassung_DC.pdf index 085d93a..04f3d27 100644 Binary files a/Zusammenfassung_DC.pdf and b/Zusammenfassung_DC.pdf differ diff --git a/Zusammenfassung_DC.synctex.gz b/Zusammenfassung_DC.synctex.gz index 1dfac62..52a41da 100644 Binary files a/Zusammenfassung_DC.synctex.gz and b/Zusammenfassung_DC.synctex.gz differ diff --git a/Zusammenfassung_DC.tex b/Zusammenfassung_DC.tex index 42af0a8..e2c95ad 100644 --- a/Zusammenfassung_DC.tex +++ b/Zusammenfassung_DC.tex @@ -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} diff --git a/Zusammenfassung_DC.toc b/Zusammenfassung_DC.toc index ae5e75d..bb63a11 100644 --- a/Zusammenfassung_DC.toc +++ b/Zusammenfassung_DC.toc @@ -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}% diff --git a/chapters/Hashfunktionen.tex b/chapters/Hashfunktionen.tex new file mode 100644 index 0000000..b5a65e1 --- /dev/null +++ b/chapters/Hashfunktionen.tex @@ -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} \ No newline at end of file