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| author | LordMcFungus <mceagle117@gmail.com> | 2021-03-22 18:05:11 +0100 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2021-03-22 18:05:11 +0100 |
| commit | 76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7 (patch) | |
| tree | 11b2d41955ee4bfa0ae5873307c143f6b4d55d26 /buch/chapters/90-crypto/images/dh.tex | |
| parent | more chapter structure (diff) | |
| parent | add title image (diff) | |
| download | SeminarMatrizen-76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7.tar.gz SeminarMatrizen-76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7.zip | |
Merge pull request #1 from AndreasFMueller/master
update
Diffstat (limited to 'buch/chapters/90-crypto/images/dh.tex')
| -rw-r--r-- | buch/chapters/90-crypto/images/dh.tex | 53 |
1 files changed, 53 insertions, 0 deletions
diff --git a/buch/chapters/90-crypto/images/dh.tex b/buch/chapters/90-crypto/images/dh.tex new file mode 100644 index 0000000..1faa830 --- /dev/null +++ b/buch/chapters/90-crypto/images/dh.tex @@ -0,0 +1,53 @@ +% +% dh.tex -- diffie hellmann key exchange +% +% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +% +\documentclass[tikz]{standalone} +\usepackage{amsmath} +\usepackage{times} +\usepackage{txfonts} +\usepackage{pgfplots} +\usepackage{csvsimple} +\usetikzlibrary{arrows,intersections,math,calc,hobby} +\begin{document} +\definecolor{darkgreen}{rgb}{0,0.6,0} +\def\skala{1} +\begin{tikzpicture}[>=latex,thick,scale=\skala] +\def\l{2.5} +\fill[color=blue!20] (-7,-6.5) rectangle (7,0.5); +\fill[color=red!20] (-\l,-6.5) rectangle (\l,0.501); +\node[color=red] at (0,-1.5) {öffentliches Netzwerk}; +\node[color=blue] at (-7,0.2) [right] {privat}; +\node[color=blue] at (7,0.2) [left] {privat}; +\coordinate (A) at (-\l,-2.5); +\coordinate (C) at (\l,-5.5); +\coordinate (B) at (\l,-2.5); +\coordinate (D) at (-\l,-5.5); +\node at (0,0) {$p\in\mathbb{N},g\in\mathbb{F}_p$ aushandeln}; +\fill[color=white] (-\l,-0.7) circle[radius=0.3]; +\draw (-\l,-0.7) circle[radius=0.3]; +\fill[color=white] (\l,-0.7) circle[radius=0.3]; +\draw (\l,-0.7) circle[radius=0.3]; +\node at (-\l,-0.7) {$A$}; +\node at (\l,-0.7) {$B$}; +\node at (-\l,-1.5) [left] {$a$ auswählen}; +\node at (-\l,-2.0) [left] {$x=g^a\in\mathbb{F}_p$ auswählen}; +\node at (\l,-1.5) [right] {$b$ auswählen}; +\node at (\l,-2.0) [right] {$y=g^b\in\mathbb{F}_p$ auswählen}; +\draw[->] (-\l,-1) -- (-\l,-6); +\draw[->] (\l,-1) -- (\l,-6); +\draw[->] (A) -- (C); +\draw[->] (B) -- (D); +\fill (A) circle[radius=0.08]; +\fill (B) circle[radius=0.08]; +\node at ($0.8*(A)+0.2*(C)$) [above right] {$x=g^a$}; +\node at ($0.8*(B)+0.2*(D)$) [above left] {$y=g^b$}; +\node at (-\l,-5.5) [left] {$s=g^{ab}=y^a\in\mathbb{F}_p$ ausrechnen}; +\node at (\l,-5.5) [right] {$s=g^{ab}=x^b\in\mathbb{F}_p$ ausrechnen}; +\fill[rounded corners=0.3cm,color=darkgreen!20] ({-\l-1},-7) rectangle ({\l+1},-6); +\draw[rounded corners=0.3cm] ({-\l-1},-7) rectangle ({\l+1},-6); +\node at (0,-6.5) {$A$ und $B$ haben den gemeinsamen Schlüssel $s$}; +\end{tikzpicture} +\end{document} + |