For each number $\mathsf{N}=4,5,6,7,8$ of bits, we have generated
the functions according to the method
-given in Sect.~\ref{sec:hamilton}.
+given in Sect.~\ref{sec:SCCfunc} and~\ref{sec:hamilton}.
% MENTION FILTRAGE POSSIBLE LORS DE CONSTRUCTION... (SCV)
For each $\mathsf{N}$, we have then restricted this evaluation to the function
whose Markov Matrix (issued from Eq.~(\ref{eq:Markov:rairo}))
&&\\
&22, 83, 2, 16, 80, 13, 78, 9, 14, 3, 11, 73, 12, 23, 4, 21, 20,
&&\\
-&67, 66, 5, 1]
-
-
-
-
-
-
-
-[111, 94, 93, 116, 122, 90, 125, 88, 115, 126, 119, 84, 123, 98,
-&&\\
-&
- 81, 120, 109, 106, 105, 110, 99, 107, 104, 72, 71, 118, 117,
- &&\\
-&
-96, 103, 102, 113, 64, 79, 86, 95, 124, 83, 91, 121, 24, 85, 22,
-&&\\
-69, 20, 19, 114, 17, 112, 77, 76, 13, 108, 74, 10, 9, 73, 67, 66,
-&7 & 99\\
-
-&
- 101, 100, 75, 82, 97, 0, 127, 54, 57, 62, 51, 59, 56, 48, 53, 38,
-&&\\
-&
- 37, 60, 55, 58, 33, 49, 63, 44, 47, 40, 42, 46, 45, 41, 35, 34,
-&&\\
-&
-39, 52, 43, 50, 32, 36, 29, 28, 61, 92, 26, 18, 89, 25, 87, 30,
-&&\\
-&
-23, 4, 27, 2, 16, 80, 31, 78, 15, 14, 3, 11, 8, 12, 5, 70, 21,
-&&\\
-&
-68, 7, 6, 65, 1]
-&&\\
-
-
+&67, 66, 5, 1] &&\\
%%%%%n=8
\hline
&
-[223, 190, 249, 254, 187, 251, 233, 232, 183, 230, 247, 180, 227,
+[223, 238, 249, 254, 243, 251, 233, 252, 183, 244, 229, 245, 227,
&&\\
-&
-178, 240, 248, 237, 236, 253, 172, 203, 170, 201, 168, 229, 166,
+&246, 240, 176, 175, 174, 253, 204, 203, 170, 169, 248, 247, 226,
&&\\
-&
-165, 244, 163, 242, 241, 192, 215, 220, 205, 216, 218, 222, 221,
+&228, 164, 163, 162, 161, 192, 215, 220, 205, 216, 155, 222, 221,
&&\\
-&
-208, 213, 210, 212, 214, 219, 211, 217, 209, 239, 202, 207, 140,
+&208, 213, 150, 212, 214, 219, 211, 145, 209, 239, 202, 207, 140,
&&\\
-&
-139, 234, 193, 204, 135, 196, 199, 132, 194, 130, 225, 200, 159,
+&195, 234, 193, 136, 231, 230, 199, 197, 131, 198, 225, 200, 63,
&&\\
-&
-62, 185, 252, 59, 250, 169, 56, 191, 246, 245, 52, 243, 50, 176,
+&188, 173, 184, 186, 250, 57, 168, 191, 178, 180, 52, 187, 242,
&&\\
-&
-48, 173, 238, 189, 44, 235, 42, 137, 184, 231, 38, 37, 228, 35,
+&241, 48, 143, 46, 237, 236, 235, 138, 185, 232, 135, 38, 181, 165,
&&\\
-&
-226, 177, 224, 151, 156, 141, 152, 154, 158, 157, 144, 149, 146,
+&35, 166, 33, 224, 31, 30, 153, 158, 147, 218, 217, 156, 159, 148,
&&\\
-&
-148, 150, 155, 147, 153, 145, 175, 206, 143, 136, 11, 142, 129,
+$\textcircled{e}$&151, 149, 19, 210, 144, 152, 141, 206, 13, 12, 171, 10, 201, 128,
+&8&109\\
+&133, 130, 132, 196, 3, 194, 137, 0, 255, 124, 109, 120, 122, 106,
&&\\
-$\textcircled{e}$&
-8, 7, 198, 197, 4, 195, 2, 161, 160, 255, 124, 109, 108, 122,
-&8&110\\
-&
- 126, 125, 112, 117, 114, 116, 100, 123, 98, 97, 113, 79, 106,
+&125, 104, 103, 114, 116, 118, 123, 98, 97, 113, 79, 126, 111, 110,
&&\\
-&
- 111, 110, 99, 74, 121, 120, 71, 118, 103, 101, 115, 66, 65,
+&99, 74, 121, 72, 71, 70, 117, 101, 115, 102, 65, 112, 127, 90, 89,
&&\\
-&
-104, 127, 90, 89, 94, 83, 91, 81, 92, 95, 84, 87, 85, 82, 86,
+&94, 83, 91, 81, 92, 95, 84, 87, 85, 82, 86, 80, 88, 77, 76, 93,
&&\\
-&
-80, 88, 77, 76, 93, 72, 107, 78, 105, 64, 69, 102, 68, 70, 75,
-&&\\
-&
-67, 73, 96, 55, 58, 45, 188, 51, 186, 61, 40, 119, 182, 181,
+&108, 107, 78, 105, 64, 69, 66, 68, 100, 75, 67, 73, 96, 55, 190,
&&\\
-&
-53, 179, 54, 33, 49, 15, 174, 47, 60, 171, 46, 57, 32, 167, 6,
+&189, 62, 51, 59, 41, 60, 119, 182, 37, 53, 179, 54, 177, 32, 45,
&&\\
-&
- 36, 164, 43, 162, 1, 0, 63, 26, 25, 30, 19, 27, 17, 28, 31,
+&44, 61, 172, 11, 58, 9, 56, 167, 34, 36, 4, 43, 50, 49, 160, 23,
&&\\
-&
-20, 23, 21, 18, 22, 16, 24, 13, 10, 29, 14, 3, 138, 41, 12,
+&28, 157, 24, 26, 154, 29, 16, 21, 18, 20, 22, 27, 146, 25, 17, 47,
&&\\
-&
-39, 134, 133, 5, 131, 34, 9, 128]
+&142, 15, 14, 139, 42, 1, 40, 39, 134, 7, 5, 2, 6, 129, 8]
&&\\
\hline
\end{tabular}
-\begin{table}
+\begin{table*}
\renewcommand{\arraystretch}{1.3}
\begin{center}
\begin{scriptsize}
\end{center}
\caption{NIST SP 800-22 test results ($\mathbb{P}_T$)}
\label{The passing rate}
-\end{table}
+\end{table*}
%%% Local Variables:
