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lines changed Original file line number Diff line number Diff line change 3122
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($X$ in case of the first round)
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is permuted to obtain the intermediate state $V$:
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\begin{codeblock}
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- @$V_j = X'_{f (j)}$@
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+ @$V_j = X'_{f_n (j)}$@
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\end{codeblock}
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where $j = 0, \dotsc, n - 1$ and
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- $f (j)$ is defined in \tref{rand.eng.philox.f}.
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+ $f_n (j)$ is defined in \tref{rand.eng.philox.f}.
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- \begin{floattable}{Values for the word permutation $f (j)$}{rand.eng.philox.f}
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+ \begin{floattable}{Values for the word permutation $\bm{f}_{\bm{n}}\bm{ (j)} $}{rand.eng.philox.f}
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{l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l}
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\topline
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- \multicolumn{2}{|c|}{}
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- & \multicolumn{16}{c|}{$j=$} \\ \cline{3-18}
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+ \multicolumn{2}{|c|}{$\bm{f}_{\bm{n}}\bm{(j)}$} & \multicolumn{16}{c|}{$\bm{j}$} \\ \cline{3-18}
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\multicolumn{2}{|c|}{}
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& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline
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- $n= $ & 2 & 0 & 1 & \multicolumn{14}{c|}{} \\ \cline{2-18}
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+ $\bm{n} $ & 2 & 0 & 1 & \multicolumn{14}{c|}{} \\ \cline{2-18}
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& 4 & 0 & 3 & 2 & 1 & \multicolumn{12}{c|}{} \\ \cline{2-18}
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& 8 & 2 & 1 & 4 & 7 & 6 & 5 & 0 & 3 & \multicolumn{8}{c|}{} \\ \cline{2-18}
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& 16 & 0 & 9 & 2 & 13 & 6 & 11 & 4 & 15 & 10 & 7 & 12 & 3 & 14 & 5 & 8 & 1 \\ \cline{2-18}
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\usepackage {color } % define colors for strikeouts and underlines
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\usepackage {amsmath } % additional math symbols
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\usepackage {mathrsfs } % mathscr font
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+ \usepackage {bm }
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\usepackage [final ]{microtype }
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\usepackage [splitindex,original ]{imakeidx }
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\usepackage {multicol }
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