ODLK1

Dr Who Fan, Fri Nov 24 2017, 09:06AM

[ecaptcha=99.125.127.59_17_forum_1511535964] New Project: ODLK1 http://boinc.multi-pool.info/latinsquares/

Stats are now being exported at http://78.26.93.125/latinsquares/stats/

The description of project ODLK1:

BOINC-project ODLK1 continues to solve the problem of BOINC-project ODLK.
Therefore the description of the project is the same.

In the project generate a database of canonical forms (CF) of diagonal Latin squares (DLS) of order 10 having orthogonal diagonal Latin squares (ODLS).
The necessary definitions for the theme can be found here:

https://en.wikipedia.org/wiki/Latin_square
https://ru.wikipedia.org/wiki/Латинский%20квадрат

The first three orthogonal pairs of DLS were found in 1992, they were published in the article "Completion of the Spectrum of Orthogonal Diagonal Latin Squares" (J. W. Brown et al.).
In 2012-2016 years there was a scientific BOINC project SAT@home, in which new orthogonal pairs of DLS of order 10 were searched.

https://ru.wikipedia.org/wiki/SAT@home
http://sat.isa.ru/pdsat

In this project were found 77 unique orthogonal pairs of DLS, which gave 154 unique CF ODLS. You can see the solutions found in the SAT@home project here:
http://sat.isa.ru/pdsat/solutions.php

The database produced in the submitted project includes solutions found in the SAT@home project.

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