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Forum: ODLK

In the project, a database of canonical forms (CR) of diagonal Latin squares (DLK) of the 10th order having orthogonal diagonal Latin squares (ODLC) is compiled. The necessary definitions for the topic can be found here: https://en.wikipedia.org/wiki/Latin_square https://en.wikipedia.org/wiki/Latin Square The first three orthogonal pairs of DLK were found in 1992, they were published in the article "Completion of the Spectrum of Orthogonal Diagonal Latin Squares" (JW Brown et al.). In 2012-2016 years. There was a scientific BOINC project SAT @ home, in which new orthogonal pairs of the 10th order DLK were searched. https://en.wikipedia.org/wiki/SAT@home http://sat.isa.ru/pdsat/ In this project were found 77 unique orthogonal pairs of DLK, which gave 154 unique KF ODLK. 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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