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Lattice figure

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This commit is contained in:
Fabrice Mouhartem 2018-02-02 16:07:17 +01:00
parent cd8ca0cc84
commit 59c892e6d2
2 changed files with 24 additions and 23 deletions
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23
fig-lattice-base.tex Normal file
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@ -0,0 +1,23 @@
\begin{tikzpicture}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Comment or uncomment crop %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\clip[use as bounding box]
%\draw[thick, black]
(2,3) rectangle (10,8);
\foreach \i in {0,1,...,20} {
\foreach \j in {0,1,..., 10} {
\draw[fill=black] (.2*\j + .5*\i, \j + .1*\i) circle (1pt) coordinate (v-\i-\j);
}
}
\draw[very thick, green!80!black, ->] (v-9-4) -- (v-8-4);
\draw[very thick, green!80!black, ->] (v-9-4) -- (v-9-5);
\draw[very thick, red!80!black, ->] (v-9-4) -- (v-19-2);
\draw[very thick, red!80!black, ->] (v-9-4) -- (v-18-2);
\foreach \i in {0,1,...,10} {
\draw[dotted, color=black!70] (v-0-\i) -- (v-20-\i);
}
\foreach \i in {0,1,...,20} {
\draw[dotted, color=black!70] (v-\i-0) -- (v-\i-10);
}
\end{tikzpicture}

24
sec-lattices.tex
View File

@ -13,29 +13,7 @@ Worst-case lattice problems have been extensively studied in the last past years
\begin{figure} \begin{figure}
\centering \centering
\begin{tikzpicture} \input fig-lattice-base
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Comment or uncomment crop %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\clip[use as bounding box]
%\draw[thick, black]
(2,3) rectangle (10,8);
\foreach \i in {0,1,...,20} {
\foreach \j in {0,1,..., 10} {
\draw[fill=black] (.2*\j + .5*\i, \j + .1*\i) circle (1pt) coordinate (v-\i-\j);
}
}
\draw[very thick, green!80!black, ->] (v-9-4) -- (v-8-4);
\draw[very thick, green!80!black, ->] (v-9-4) -- (v-9-5);
\draw[very thick, red!80!black, ->] (v-9-4) -- (v-19-2);
\draw[very thick, red!80!black, ->] (v-9-4) -- (v-18-2);
\foreach \i in {0,1,...,10} {
\draw[dotted, color=black!70] (v-0-\i) -- (v-20-\i);
}
\foreach \i in {0,1,...,20} {
\draw[dotted, color=black!70] (v-\i-0) -- (v-\i-10);
}
\end{tikzpicture}
\caption{A lattice $\Lambda$ with two different basis.} \caption{A lattice $\Lambda$ with two different basis.}
\label{fig:lattice-basis} \label{fig:lattice-basis}
\end{figure} \end{figure}