Damm algorithm: Difference between revisions

Revision as of 19:14, 19 December 2019

Revision as of 11:05, 5 January 2020

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== Example ==

The following operation table will be used.<ref name="fenwick2014" /> It may be obtained from the totally anti-symmetric quasigroup <math>x*y</math> in Damm's doctoral dissertation page 111<ref name="dhmd" />{{Failed verification|date=September 2019}} by rearranging the rows and changing the entries correspondinglywith the permutation <math>\varphi = (1 ~ 2 ~ 9 ~ 5 ~ 4 ~ 8 ~ 6 ~ 7 ~ 3)</math> and defining <math>x\cdot y := \varphi^{-1}(\varphi(x)*y)</math>.

{| class="wikitable" style="text-align:center;background:none;color:#E000E0"

|- style="color:#00A000"

| style="width:1.5em" | <math>\cdot</math>

| style="width:1.5em" | 0

| style="width:1.5em" | 1