Pseudo Associative Diagonal Latin Squares experiment

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Tomáš Brada
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Message 1 - Posted: 8 Feb 2019, 9:24:21 UTC
Last modified: 9 Feb 2019, 19:56:24 UTC

New application: https://boinc.progger.info/odlk/forum_thread.php?id=104

Please use mainly the liked thread to discuss the results and science. While the results are backed up safely, the forum is not.
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Natalia Makarova
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Message 2 - Posted: 9 Feb 2019, 5:32:43 UTC - in response to Message 1.  

Pseudo-associative DLS of order 10 is not a fully associative DLS - with some violation of associativity.
Associative DLS of order 10 does not exist.

The class of pseudo-associative DLSs of order 10 is very large.
As a result of the experiment, it was found that pseudo-associative DLSs give many orthogonal DLSs when processed by their special program by Belyshev.

My first generator gave such a pseudo-associative DLS of order 10



See
https://boinc.progger.info/odlk/forum_thread.php?id=51&postid=1247#1247

In an experiment with pseudo-associative DLS,
for example, a unique solution was found, noted in OEIS
https://oeis.org/A287695

At the moment two generators of pseudo-associative DLS are working in the experiment.
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