The enormous size of the diagonal Latin squares space makes it unfeasible to enumerate all its objects straightforwardly in reasonable time. So, in order to discover the structure of this space, sophisticated search methods are needed. In RakeSearch project, we implement an application that picks up separate pairs of mutually orthogonal DLSs, which allows to reconstruct full graphs of their orthogonality.

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Hoshione
Hy there, i am 61 years old and working as a surveyor for a shipowning company in Germany. In the year 1996 i read about SERENDIP and Seti for the...

Processing of the square # 45 completed
Dear participants, processing of the square # 45 is fully completed! The square:

0 1 2 3 4 5 6 7 8 9 A B
1 2 0 4 5 3 8 9 A B 6 7
2 0 1 5 3 4 A B 6 7 8 9
8 A 6 7 9 B 0 4 1 5 2 3
A 6 8 9 B 7 1 5 2 3 0 4
9 B 7 6 8 A 4 0 5 1 3 2
5 3 4 0 1 2 9 8 B A 7 6
4 5 3 2 0 1 7 6 9 8 B A
B 7 9 8 A 6 5 1 3 2 4 0
6 8 A B 7 9 2 3 0 4 1 5
7 9 B A 6 8 3 2 4 0 5 1
3 4 5 1 2 0 B A 7 6 9 8

has 491608552 orthogonal mates which puts it on the 36th place of the rating which include now 5780 positions.

Thank you for project attention, support and donation of CPU time!
2 Sep 2024, 9:28:32 UTC · Discuss

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Processing of the square # 44 completed
Dear participants, processing of the square # 44 is fully completed! The square:

0 1 2 3 4 5 6 7 8 9 A B
1 2 3 4 9 6 7 A B 0 8 5
9 0 1 2 3 B 5 6 A 4 7 8
8 B 5 6 7 2 3 4 0 A 9 1
6 7 A 8 B 9 0 1 3 5 2 4
5 6 7 A 8 4 9 0 2 B 1 3
2 3 4 9 0 7 A 8 5 1 B 6
4 9 0 1 2 8 B 5 7 3 6 A
A 8 B 5 6 1 2 3 9 7 4 0
B 5 6 7 A 3 4 9 1 8 0 2
7 A 8 B 5 0 1 2 4 6 3 9
3 4 9 0 1 A 8 B 6 2 5 7

has 541829049 orthogonal mates which puts it on the 27th place of the rating.

Thank you for project attention, support and donation of CPU time!
2 Sep 2024, 9:26:39 UTC · Discuss

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Processing of the square # 43 completed
Dear participants, processing of the square # 43 is fully completed! The square:

0 1 2 3 4 5 6 7 8 9 A B
1 2 0 4 5 3 8 6 7 B 9 A
3 4 5 0 1 2 A B 9 8 6 7
7 6 8 B A 9 2 1 0 3 5 4
6 8 7 A 9 B 0 2 1 4 3 5
B A 9 7 6 8 5 4 3 0 2 1
8 7 6 9 B A 1 0 2 5 4 3
9 B A 8 7 6 4 3 5 2 1 0
A 9 B 6 8 7 3 5 4 1 0 2
2 0 1 5 3 4 7 8 6 A B 9
5 3 4 2 0 1 B 9 A 6 7 8
4 5 3 1 2 0 9 A B 7 8 6

has 507261172 orthogonal mates which puts it on the 34th place of the rating.

Thank you for project attention, support and donation of CPU time!
2 Sep 2024, 9:25:32 UTC · Discuss

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Processing of the square # 42 completed
Dear participants, processing of the square # 42 is fully completed! The square:

0 1 2 3 4 5 6 7 8 9 A B
1 2 0 4 9 8 B 6 A 3 5 7
3 4 9 0 1 6 5 A B 2 7 8
A 5 8 7 6 0 3 9 1 B 2 4
6 B 7 5 8 4 1 0 9 A 3 2
5 8 A 6 B 1 4 3 2 7 0 9
9 3 4 2 0 7 A 8 6 1 B 5
2 0 1 9 3 A 7 B 5 4 8 6
7 6 B A 5 3 0 2 4 8 9 1
B 7 6 8 A 9 2 1 3 5 4 0
4 9 3 1 2 B 8 5 7 0 6 A
8 A 5 B 7 2 9 4 0 6 1 3

has 508625638 orthogonal mates which puts it on the 33th place of the rating.

Thank you for project attention, support and donation of CPU time!
2 Sep 2024, 9:24:05 UTC · Discuss

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Processing of the square # 41 completed
Dear participants, processing of the square # 41 is fully completed! The square:

0 1 2 3 4 5 6 7 8 9 A B
1 2 0 4 5 3 8 6 7 B 9 A
2 0 1 5 3 4 7 8 6 A B 9
8 7 6 9 B A 1 0 2 5 4 3
7 6 8 B A 9 2 1 0 3 5 4
9 B A 6 8 7 4 3 5 1 0 2
5 3 4 1 2 0 B 9 A 7 8 6
A 9 B 7 6 8 3 5 4 0 2 1
B A 9 8 7 6 5 4 3 2 1 0
6 8 7 A 9 B 0 2 1 4 3 5
4 5 3 0 1 2 9 A B 8 6 7
3 4 5 2 0 1 A B 9 6 7 8

has 524388782 orthogonal mates which puts it on the 32th place of the rating.

Thank you for project attention, support and donation of CPU time!
2 Sep 2024, 9:22:48 UTC · Discuss

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