Application odlksym3

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Progger
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Message 158 - Posted: 31 Jan 2018, 15:34:09 UTC

Application for the final search of all symmetric squares.
The current version is only for linux amd64, and I forgot to make a progress notification. Soon there will be an improved version for all platforms.
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Profile Natalia Makarova
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Message 159 - Posted: 1 Feb 2018, 8:50:29 UTC

What is symmetric DLS?

Partial explanation we see in the article OEIS
Number of horizontally symmetric diagonal Latin squares of order 2n with constant first row.
https://oeis.org/A287649

Example of a vertically symmetric DLS of order 10



In this DLS is a one-to-one correspondence of pairs of elements symmetrical with respect to the vertical symmetry axis of the square: (0,1), (2, 3), (4, 6), (5, 7), (8, 9).

A classic example of a vertically symmetric DLS of order 10 by Gergely


See
Ervin Gergely. A Simple Method for Constructing Doubly Diagonalized Latin Squares. 1972.
https://yadi.sk/i/reXszmOC3RFUQC

The algorithm was developed and programmed by Belyshev.
See
http://forum.boinc.ru/default.aspx?g=posts&m=89617#post89617

The program was adapted for the BOINC platform Progger.
https://yadi.sk/i/S1HhJBwp3Pr9jX
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Message 164 - Posted: 9 Feb 2018, 22:46:28 UTC

Any more of these tasks?
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Profile Natalia Makarova
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Message 165 - Posted: 10 Feb 2018, 2:52:50 UTC - in response to Message 164.  

This experiment ends.

A detailed description of the experiment in Russian can be found here
https://boinc.progger.info/odlk/forum_thread.php?id=41

We are planning a new experiment. I do not know how soon it will turn out.
https://yadi.sk/i/S1HhJBwp3Pr9jX
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Progger
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Message 187 - Posted: 19 Feb 2018, 8:21:51 UTC

All tasks are completed, the application is marked as deprecated.
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