Stratified Universality

Download original file

This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.

Read the typeset paper

1 \begin{table}[H]
2 \centering
3 \scriptsize
4 \caption{Representative exact degree and collision profiles in the Algebraic atlas algebraic packet atlas.}
5 \label{tab:block10-examples}
6 \begin{tabularx}{\textwidth}{@{}L{0.17\textwidth}L{0.14\textwidth}cccccY@{}}
7 \toprule
8 Source & Packet & $d$ & $d^N$ & degree & tuple loss & stabilizer loss & Interpretation\\
9 \midrule
10 $C=1+zC^2$ & parity $(E,O)$ & 2 & 4 & 4 & 0 & 0 & sharp Weil-restriction bound\\
11 $\sqrt{(1-z)(1-2z)}$ & parity even/odd & 2 & 4 & 4 & 0 & 0 & generic biquadratic packet\\
12 $\sqrt{1-z^2}$ & even packet & 2 & 4 & 2 & 1 & 1 & rotation alias plus descent stabilizer\\
13 $\sqrt{1-z^2}$ & odd packet & 2 & 4 & 1 & 1 & 2 & exact zero-address cancellation\\
14 $\sqrt{(1-z)^2}=1-z$ & normalized source & 1 & 1 & 1 & 0 & 0 & nonminimal quadratic equation rejected\\
15 \bottomrule
16 \end{tabularx}
17 \end{table}

Back to source controls

Back to Stratified Universality