block11_qary_phase_table.tex

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block11_qary_phase_table.tex

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1 \begin{table}[htbp]
2 \centering
3 \caption{Exact packet signatures for the marked full $q$-ary tree family $u=z+u^q$.}
4 \label{tab:block11-qary-phases}
5 \small
6 \begin{tabular}{rrrrrr}
7 \toprule
8 $q$ & $N$ & $g=\gcd(N,q-1)$ & Active packets & Packet orbit & Active addresses\\
9 \midrule
10 2 & 5 & 1 & 5 & 1 & $\{0,1,2,3,4\}$\\
11 3 & 4 & 2 & 2 & 1 & $\{1,3\}$\\
12 3 & 5 & 1 & 5 & 2 & $\{0,1,2,3,4\}$\\
13 4 & 4 & 1 & 4 & 3 & $\{0,1,2,3\}$\\
14 4 & 6 & 3 & 2 & 1 & $\{1,4\}$\\
15 5 & 6 & 2 & 3 & 2 & $\{1,3,5\}$\\
16 5 & 7 & 1 & 7 & 4 & $\{0,1,2,3,4,5,6\}$\\
17 6 & 10 & 5 & 2 & 1 & $\{1,6\}$\\
18 \bottomrule
19 \end{tabular}
20 \end{table}

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