Damm algorithm: Difference between revisions

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Revision as of 06:13, 28 March 2021

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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''}} in Damm's doctoral dissertation page 111<ref name="dhmd" /> by rearranging the rows and changing the entries with the permutation {{math|1=''φ'' = (1&nbsp;2&nbsp;9&nbsp;5&nbsp;4&nbsp;8&nbsp;6&nbsp;7&nbsp;3)}} and defining {{math|1=''x'' &sdot;⋅ ''y'' = ''φ''^''&minus;1''(''φ''(''x'') ∗ ''y'')}}.

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

|- style="color:#00A000"

| style="width:1.5em" | {{math|1=&sdot;⋅}}

| style="width:1.5em" | 0

| style="width:1.5em" | 1