What is RakeSearch?

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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Besides hiking and skiing in the Alps I am traveling around the world. Now I have visited every continent on earth. Neben Wandern und Skifahren...

News

Processing of the square # 36 completed
Dear participants, processing of the square # 36 is fully completed! The square:

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

has 575323340 orthogonal mates which puts it on the 24th place of the rating which include now 5678 positions.

Now "high part" of spectra of ODLS-12 looks like this (square # 36 marked by red):


Thank you for project attention, support and donation of CPU time!
11 Apr 2024, 15:00:24 UTC · Discuss


Processing of the square # 35 completed
Dear participants, processing of the square # 35 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
5 3 4 0 1 2 9 8 B A 7 6
B 7 9 8 A 6 5 1 3 2 4 0
A 6 8 9 B 7 1 5 2 3 0 4
6 8 A B 7 9 2 3 0 4 1 5
2 0 1 5 3 4 A B 6 7 8 9
4 5 3 2 0 1 7 6 9 8 B A
3 4 5 1 2 0 B A 7 6 9 8
9 B 7 6 8 A 4 0 5 1 3 2
7 9 B A 6 8 3 2 4 0 5 1
8 A 6 7 9 B 0 4 1 5 2 3

has 549717331 orthogonal mates which puts it on the 24th place of the rating which include now 5665 positions.

Now "high part" of spectra of ODLS-12 looks like this (square # 35 marked by red):


Thank you for project attention, support and donation of CPU time!
11 Apr 2024, 14:57:52 UTC · Discuss


Processing of the square # 34 completed
Dear participants, processing of the square # 34 is fully completed! The square:

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

has 610170218 orthogonal mates which puts it on the 22th place of the rating which include now 5651 positions.

Now "high part" of spectra of ODLS-12 looks like this (square # 34 marked by red):


Thank you for project attention, support and donation of CPU time!
21 Mar 2024, 7:22:07 UTC · Discuss


Processing of the square # 33 completed
Dear participants, processing of the square # 33 is fully completed! The square:

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

has 540911874 orthogonal mates which puts it on the 23th place of the rating which include now 5628 positions.

Now "high part" of spectra of ODLS-12 looks like this (square # 33 marked by red):


Thank you for project attention, support and donation of CPU time!
1 Mar 2024, 21:19:56 UTC · Discuss


Processing of the square # 32 completed
Dear participants, processing of the square # 32 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
B 7 9 8 A 6 3 2 4 0 5 1
A 6 8 7 9 B 1 3 2 4 0 5
9 B 7 6 8 A 5 1 3 2 4 0
5 3 4 2 0 1 7 8 9 A B 6
4 5 3 1 2 0 B 6 7 8 9 A
3 4 5 0 1 2 9 A B 6 7 8
6 8 A 9 B 7 2 4 0 5 1 3
7 9 B A 6 8 4 0 5 1 3 2
8 A 6 B 7 9 0 5 1 3 2 4

has 618759046 orthogonal mates which puts it on the 20th place of the rating which include now 5608 positions.

Now "high part" of spectra of ODLS-12 looks like this (square # 32 marked by red):


Thank you for project attention, support and donation of CPU time!
24 Feb 2024, 20:07:57 UTC · Discuss


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