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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Processing of the square # 48 completed

Dear participants, processing of the square # 48 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

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

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

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

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

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

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

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

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

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

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

has 497890762 orthogonal mates which puts it on the 37th place of the rating which include now 5827 positions.

Thank you for project attention, support and donation of CPU time!

3 Nov 2024, 9:46:12 UTC
· Discuss

Processing of the square # 47 completed

Dear participants, processing of the square # 47 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

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

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

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

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

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

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

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

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

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

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

has 481418765 orthogonal mates which puts it on the 37th place of the rating which include now 5813 positions.

Thank you for project attention, support and donation of CPU time!

3 Nov 2024, 9:44:00 UTC
· Discuss

Processing of the square # 46 completed

Dear participants, processing of the square # 46 is fully completed! The square:

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

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

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

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

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

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

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

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

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

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

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

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

has 478168778 orthogonal mates which puts it on the 37th place of the rating which include now 5799 positions.

Thank you for project attention, support and donation of CPU time!

3 Nov 2024, 9:42:14 UTC
· Discuss

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

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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