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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Nosferatu*
My name is David. I live in Texas. I work as a Jack of all Trades for a glass factory. I like building and repairing computers in my spare time. I...

Work generation disabled for several days
Hello!

Due to a failure of one of the mirrored drives, we disabled workunits generation for several days (for reduce server load) until drives replacing.

Thank you for attention and project support!
6 Apr 2026, 22:17:51 UTC · Discuss

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Project server maintenance 06th April 2026
Dear participants, tomorrow, 2026.04.06 due to server maintenance, the project will stopped for several hours.

Thank you for attention and project participation!
5 Apr 2026, 21:08:14 UTC · Discuss

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Processing of the square # 62 completed
Dear participants, processing of the square # 62 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 1 2 0 B 9 A 6 7 8
6 8 7 B A 9 2 1 0 4 3 5
8 7 6 A 9 B 0 2 1 5 4 3
B A 9 8 7 6 5 4 3 2 1 0
7 6 8 9 B A 1 0 2 3 5 4
9 B A 6 8 7 4 3 5 1 0 2
A 9 B 7 6 8 3 5 4 0 2 1
2 0 1 5 3 4 7 8 6 A B 9
5 3 4 0 1 2 9 A B 7 8 6
4 5 3 2 0 1 A B 9 8 6 7

has 25204 diagonal transversals and 468179486 orthogonal mates which puts it on the 51th place of the rating which include now 6052 positions.

Thank you for project attention, support and donation of CPU time!
24 Dec 2025, 7:48:45 UTC · Discuss

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Processing of the square # 61 completed
Dear participants, processing of the square # 61 is fully completed! The square:

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

has 25208 diagonal transversals and 493916198 orthogonal mates which puts it on the 39th place of the rating which include now 6028 positions.

Thank you for project attention, support and donation of CPU time!
11 Nov 2025, 20:51:47 UTC · Discuss

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Processing of the square # 60 completed
Dear participants, processing of the square # 60 is fully completed! The square:

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

has 25210 diagonal transversals and 469156744 orthogonal mates which puts it on the 47th place of the rating which include now 6027 positions. Description and results of other studies can be found on Publications page also.
Now "high part" of spectra of ODLS-12 looks like this (square # 60 marked by red):


Thank you for project attention, support and donation of CPU time!
20 Sep 2025, 17:01:03 UTC · Discuss

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