PHFs from Searches

- Home


The following PHFs were found using techniques presented in R. A. Walker II, C. J. Colbourn, Perfect Hash Families: Constructions and Existence.

PHF(3; 6,3,3)
1 2 0 2 1 0
2 0 2 1 0 1
0 2 2 0 1 1

PHF(4; 9,3,3)
0 2 1 1 2 1 2 0 0
0 2 0 2 0 1 1 1 2
0 1 1 0 2 2 0 1 2
2 2 1 0 0 2 1 0 1

PHF(5; 10,3,3)
0 2 0 1 2 2 1 0 0 1
2 2 0 2 0 1 0 1 1 1
0 2 2 2 0 2 2 1 0 0
0 1 1 2 2 0 0 2 2 1
2 1 0 0 2 0 1 0 1 2

PHF(6; 12,3,3)
2 2 0 0 1 1 2 2 1 0 2 1
2 1 1 2 2 0 0 0 1 0 1 2
1 1 2 2 0 1 0 2 2 0 1 2
2 0 1 2 1 1 0 2 1 1 2 0
1 0 0 2 0 2 1 0 1 1 2 2
0 0 0 1 2 0 1 1 1 2 2 1

PHF(7; 16,3,3)
0 2 0 2 2 1 2 0 1 0 1 2 2 0 1 0
0 1 0 2 0 1 0 1 2 1 0 1 2 2 2 2
1 1 2 2 1 1 0 2 1 0 2 2 0 1 2 0
0 1 1 1 1 0 2 1 2 0 2 2 2 1 0 0
0 1 2 1 0 1 0 2 1 2 2 1 0 0 1 0
2 1 0 0 1 1 1 2 2 0 2 0 0 2 2 0
2 0 1 1 1 2 2 0 0 2 2 2 0 0 1 1

PHF(8; 19,3,3)
0 1 2 1 0 2 0 0 1 0 2 2 2 2 0 1 2 1 0
1 2 2 2 2 1 1 0 0 1 0 2 1 0 2 1 2 0 0
1 0 2 2 1 2 2 2 1 0 2 0 1 0 1 0 2 1 0
0 0 1 1 1 0 2 1 1 1 0 2 1 0 2 2 0 2 2
1 2 1 0 1 2 2 2 2 2 2 2 0 0 0 1 1 1 0
2 1 1 1 0 0 2 0 2 2 1 0 1 0 1 1 2 0 2
2 1 1 2 2 1 2 0 1 2 2 2 0 0 1 0 0 0 1
2 0 2 2 0 1 0 2 0 1 1 2 0 0 1 2 1 1 2

PHF(10; 29,3,3)
0 0 2 2 0 2 2 0 2 2 2 0 0 1 0 1 1 2 0 2 1 1 0 0 2 1 1 1 1
2 1 2 1 1 2 0 2 2 2 1 2 2 2 0 0 0 2 0 1 1 2 0 1 0 0 1 1 1
0 1 1 0 2 2 1 1 1 0 1 2 0 0 2 1 1 0 0 2 1 2 0 0 2 1 2 0 2
2 1 2 0 2 2 0 2 1 1 2 0 1 2 0 2 0 0 0 0 0 1 1 0 2 0 2 2 1
0 0 0 0 0 1 0 2 2 0 0 1 1 1 2 0 2 1 1 0 0 1 1 2 1 1 2 2 0
0 2 0 1 1 0 0 2 1 2 0 1 0 1 0 2 1 2 2 2 1 2 1 0 1 0 1 2 0
0 2 2 2 0 2 0 0 1 1 1 1 2 1 0 1 2 0 1 2 0 0 2 1 2 2 2 2 1
2 1 2 2 0 1 2 2 2 2 1 2 0 1 0 2 2 1 0 0 1 2 1 0 2 0 1 0 0
2 2 0 1 0 0 2 1 2 0 1 2 0 2 2 0 1 1 0 2 0 1 1 1 1 0 1 2 1
0 1 2 0 2 0 1 2 2 0 1 1 1 2 0 1 2 2 2 2 1 1 2 1 1 0 0 1 2

PHF(20; 90,3,3)
1 2 0 0 2 2 2 0 1 1 1 1 0 2 0 2 2 0 2 2 1 0 1 1 1 2 2 0 1 1 1 0 0 0 1 2 0 2 0 1 1 2 1 0 1 2 2 2 2 1 0 1 0 2 0 2 1 0 1 2 1 1 0 2 1 0 0 0 2 2 2 0 0 2 2 1 1 2 0 2 0 1 1 1 0 2 2 0 1 1
1 0 0 1 1 0 1 2 0 2 2 2 0 2 0 2 1 1 2 1 1 2 1 1 0 2 1 1 2 0 0 0 2 2 2 2 0 1 2 1 0 2 0 1 1 0 1 2 1 0 0 0 2 0 2 1 1 2 1 1 2 0 2 1 1 2 2 1 2 2 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 2 0 1 1
0 2 2 2 0 0 1 1 1 2 0 0 2 1 2 2 2 2 2 0 0 1 2 1 0 2 0 2 2 1 1 1 0 1 1 2 0 2 0 2 0 2 2 1 0 1 2 1 2 2 0 1 0 2 0 1 2 0 2 0 1 0 2 0 0 1 1 0 1 0 1 2 1 0 1 1 1 0 0 1 1 1 0 2 0 0 1 1 2 2
2 1 0 2 0 1 1 1 0 2 2 0 0 0 2 1 1 2 2 1 0 2 2 2 2 0 0 1 0 1 2 0 2 2 1 2 1 1 0 0 2 0 2 2 1 0 0 2 2 0 2 0 2 0 0 0 1 1 1 1 0 0 2 2 1 2 1 2 0 1 0 0 0 2 1 1 1 1 0 2 1 1 2 1 0 0 2 2 2 1
0 0 2 1 0 1 2 2 2 1 1 0 1 1 0 2 2 1 0 1 2 0 2 0 1 1 1 0 2 1 0 1 2 1 0 0 0 2 0 0 1 2 1 2 0 0 1 0 1 2 2 2 2 0 1 0 0 0 1 2 2 1 0 2 0 2 1 0 0 1 0 2 1 2 2 1 1 2 1 1 0 0 0 2 0 2 2 0 0 2
2 1 1 1 0 1 2 2 2 2 2 1 1 0 0 1 0 2 0 0 0 0 0 2 2 1 0 0 0 1 0 1 2 1 0 0 0 0 2 2 0 1 1 1 1 0 2 0 1 1 2 1 0 1 0 2 2 2 0 1 1 2 2 2 1 1 1 2 2 1 2 0 2 0 0 0 2 2 0 0 2 0 1 0 1 2 0 2 1 2
0 2 0 0 1 1 2 0 0 1 2 0 1 2 2 1 1 2 1 0 0 1 0 2 0 1 0 0 1 1 1 0 1 0 0 0 1 0 2 1 1 0 2 2 0 0 2 2 2 2 2 2 1 2 0 1 0 1 0 0 0 2 2 2 2 1 1 0 2 1 0 1 1 0 2 1 2 1 1 2 0 2 0 1 2 2 1 0 1 1
0 1 2 2 2 0 0 2 2 1 1 1 1 2 2 1 2 1 1 1 1 0 1 2 1 1 0 2 2 0 0 0 0 1 1 0 1 2 2 1 2 0 0 0 2 2 2 1 0 0 0 2 2 1 0 0 2 2 2 0 2 2 2 1 0 0 0 0 0 0 1 1 2 2 0 1 1 2 1 2 0 1 0 1 1 0 1 1 0 1
0 1 1 0 2 2 2 2 2 1 0 2 0 1 2 0 1 2 0 0 2 1 1 0 0 0 1 1 2 1 2 1 1 0 0 0 2 1 0 2 1 1 2 2 1 0 1 1 2 0 2 0 1 0 0 2 0 2 2 2 0 0 0 0 1 1 0 0 2 0 1 2 2 0 0 2 0 1 1 1 2 2 1 0 1 0 2 0 0 0
1 2 2 0 2 2 2 1 1 0 2 0 1 1 1 2 0 0 2 0 1 1 1 0 1 2 1 0 1 2 2 0 0 2 2 0 2 2 0 2 2 1 0 2 0 1 0 0 2 0 2 2 1 1 2 1 1 0 2 1 2 2 2 2 2 0 0 1 1 0 0 0 1 0 0 1 1 2 1 1 0 2 1 0 2 0 1 0 1 0
1 1 0 1 2 2 1 0 1 2 0 0 2 1 1 2 0 0 0 0 2 1 1 2 0 2 0 1 1 2 0 0 0 1 1 0 0 0 0 1 2 1 2 1 2 2 1 2 0 0 2 0 0 0 1 2 0 2 1 0 1 1 1 2 2 2 2 1 1 1 1 1 2 0 2 2 0 2 1 1 0 1 0 1 2 2 0 2 1 1
1 0 2 1 1 0 1 0 2 2 1 1 1 2 1 2 0 0 1 1 0 1 0 1 0 2 0 1 2 1 2 2 0 0 0 2 1 1 1 0 0 0 0 2 2 1 0 0 2 2 0 0 2 0 2 0 1 1 2 0 1 2 0 1 0 0 2 0 2 1 2 1 2 2 2 1 1 2 2 0 0 2 2 2 1 2 2 2 0 0
0 0 0 1 0 2 2 1 0 0 0 2 1 2 2 1 1 0 2 2 1 2 2 2 1 0 0 1 1 1 1 1 2 2 0 0 1 2 0 2 0 0 0 0 1 2 0 2 2 0 1 2 0 0 2 1 1 1 2 1 2 1 1 2 0 2 2 1 0 1 1 2 2 0 0 0 1 2 2 0 2 0 1 0 1 2 1 1 2 2
2 2 2 0 2 0 0 1 0 1 2 2 2 2 2 0 1 2 1 0 1 0 0 0 1 2 1 2 2 0 2 2 0 1 0 1 2 2 0 2 0 0 2 0 0 1 1 1 0 1 1 1 1 0 0 1 0 1 1 2 1 2 1 1 1 2 0 0 2 2 2 0 0 0 2 1 2 1 1 0 1 2 1 1 1 2 0 2 2 2
0 1 2 1 0 0 1 1 2 1 2 1 2 1 1 2 2 0 1 0 2 2 1 1 2 1 1 2 0 0 1 1 0 0 2 2 0 0 0 0 2 0 0 1 0 0 0 2 2 0 2 0 0 2 2 2 0 1 0 0 1 1 2 1 1 0 1 1 0 2 0 1 0 1 1 2 1 2 1 2 2 2 0 0 0 2 2 2 2 2
2 0 1 1 0 1 1 0 1 0 2 0 2 1 2 0 2 1 0 0 1 1 2 1 2 2 2 0 1 2 1 0 0 0 2 1 1 0 2 0 2 1 0 2 2 1 0 2 2 1 0 2 2 0 2 0 0 2 0 0 1 0 1 2 1 1 1 0 2 1 2 0 2 1 2 1 2 2 0 0 1 1 2 2 0 0 2 2 1 1
0 1 0 2 2 0 2 2 2 2 0 0 2 0 1 0 2 2 1 2 2 1 0 2 1 1 2 0 2 1 2 1 2 1 2 1 1 0 2 1 1 1 2 0 1 1 0 1 1 1 0 0 1 0 0 2 0 1 0 1 2 2 2 0 0 0 1 1 1 0 0 0 1 0 2 0 2 2 2 1 0 1 2 0 2 2 2 0 2 1
2 2 0 0 2 0 0 1 0 0 0 0 1 1 2 0 1 2 1 2 2 0 0 1 1 2 0 2 1 1 0 2 0 2 1 0 1 1 1 0 0 2 1 2 0 2 2 0 2 0 2 2 0 1 1 1 2 0 0 2 0 1 2 2 1 1 2 2 1 1 0 2 0 1 1 1 2 0 1 1 0 1 2 2 1 2 2 0 0 0
0 0 1 2 2 2 0 1 1 0 2 0 0 2 0 0 0 0 0 2 2 0 1 2 1 2 1 2 2 1 0 1 0 0 0 1 0 1 2 1 0 0 2 0 2 2 2 1 1 0 1 2 2 1 2 0 1 2 0 1 1 0 2 2 1 1 1 2 1 2 1 2 0 0 0 2 1 0 1 2 2 1 2 1 1 1 0 0 2 2
1 2 1 1 2 2 1 1 0 1 2 1 2 0 0 1 2 1 0 0 0 2 0 2 0 1 1 2 2 0 1 0 2 0 1 2 2 1 1 0 2 1 1 2 0 0 2 1 0 0 1 1 0 1 0 0 0 2 2 2 2 0 0 0 2 0 2 2 0 1 1 2 1 1 0 2 2 0 1 1 2 2 2 0 2 2 0 0 0 1

PHF(21; 95,3,3)
2 2 1 0 1 1 2 0 1 1 2 2 0 1 0 1 0 2 1 0 1 0 1 2 0 2 0 0 2 2 1 2 1 2 0 1 0 0 1 0 0 1 0 2 0 2 1 1 1 0 2 1 1 1 1 2 2 0 0 1 1 1 2 2 1 1 1 2 0 2 0 0 2 1 1 2 2 2 0 0 2 1 1 0 2 0 0 0 0 0 0 2 1 1 2
0 1 1 2 0 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1 2 2 1 2 0 2 2 1 2 2 2 2 2 0 1 2 1 1 2 2 2 0 0 0 2 2 0 1 0 2 0 0 0 2 1 2 1 2 1 1 2 0 2 0 0 1 1 2 2 1 1 2 2 0 0 2 0 0 0 0 0 1 1 1 0 2 0 2 0 1 1 2 0 0 1
0 1 2 0 1 2 2 0 2 2 1 2 1 2 0 1 1 1 1 0 2 0 2 2 1 0 2 2 2 2 0 1 1 1 0 2 0 1 0 2 0 2 1 1 2 2 1 0 2 1 1 0 2 1 1 1 0 2 2 0 0 0 0 2 2 1 2 1 1 1 0 1 0 0 2 2 1 0 0 1 0 0 0 1 1 1 2 0 2 0 2 2 0 1 0
1 1 2 2 0 1 2 2 0 2 2 1 2 2 0 1 0 2 0 0 0 0 0 1 2 2 1 0 2 2 0 0 2 0 1 1 0 2 1 2 1 2 2 2 0 1 1 2 1 0 1 1 2 2 1 1 1 2 0 0 1 2 0 0 0 2 0 1 1 2 0 0 1 1 2 1 2 1 2 1 0 2 0 1 0 0 1 1 2 2 0 0 1 0 2
0 0 2 0 1 1 0 2 0 1 1 1 2 1 1 2 1 1 2 1 0 2 2 2 2 0 2 2 1 2 0 0 1 2 1 2 1 1 0 2 2 2 0 1 1 2 0 0 1 2 2 2 2 0 2 2 0 2 2 0 1 2 0 1 0 1 0 0 2 1 1 2 2 1 0 0 1 2 1 1 0 1 2 0 0 1 0 1 0 0 0 2 2 1 2
1 2 0 0 2 0 0 0 2 2 2 2 2 0 2 1 1 1 0 0 0 2 2 2 0 1 0 1 2 1 2 2 0 0 1 1 1 0 0 1 2 2 1 0 0 1 2 0 2 2 0 0 1 1 1 1 1 0 2 1 0 2 0 0 1 2 1 1 1 0 2 2 0 2 1 1 2 2 1 1 0 1 2 2 2 0 0 1 2 2 1 0 0 2 1
0 1 1 1 2 1 1 1 1 0 2 1 2 2 1 2 1 2 1 0 2 0 0 1 0 2 2 0 1 0 1 2 2 1 2 0 1 2 1 2 1 0 1 0 0 0 1 0 2 2 0 2 1 1 2 2 0 1 0 2 1 1 0 0 2 0 0 1 1 2 0 0 2 0 2 2 1 0 0 0 1 1 2 0 1 0 0 0 0 2 1 2 0 2 0
0 1 1 2 0 1 1 0 0 0 2 2 2 1 1 2 0 2 2 0 1 2 1 2 2 1 2 2 0 2 0 1 0 0 2 2 0 2 0 1 0 2 0 0 0 1 2 0 2 1 0 1 1 1 0 0 0 0 2 1 2 2 2 0 0 1 1 0 2 1 0 1 1 2 2 0 1 0 2 2 2 1 0 0 1 2 0 1 2 2 0 1 1 0 1
2 1 1 0 1 2 0 2 1 0 1 1 0 2 0 2 1 0 0 1 1 0 1 2 2 0 2 0 1 0 0 2 1 0 2 1 2 1 2 2 0 2 1 0 2 2 0 0 2 2 2 0 1 0 1 0 0 2 0 0 0 1 1 0 0 2 1 2 0 2 1 1 2 1 1 1 0 0 1 2 2 1 1 0 0 2 1 2 2 1 2 1 0 2 2
1 2 2 2 0 1 2 2 1 1 2 1 2 2 1 0 2 0 2 0 0 0 2 2 1 2 1 1 2 0 1 1 2 0 2 1 1 1 2 0 2 0 2 1 0 0 2 0 0 2 2 0 1 0 2 1 1 0 0 2 2 0 1 1 0 2 1 0 2 0 1 1 1 1 1 0 2 1 0 1 1 2 1 0 0 0 0 2 2 2 0 2 0 0 1
2 0 2 2 2 2 0 0 1 1 0 1 1 1 0 0 2 2 2 0 0 0 1 2 1 1 0 2 1 2 2 0 2 1 0 1 1 2 1 1 1 0 1 2 1 1 0 2 2 1 1 2 2 0 0 0 1 0 2 0 2 2 2 1 0 0 1 2 2 1 0 0 2 0 0 0 2 0 1 2 0 2 2 1 0 2 0 0 2 2 0 0 1 0 2
1 2 0 2 2 2 0 0 2 2 0 0 0 1 1 0 2 0 2 1 2 0 2 2 0 1 2 0 1 0 1 0 0 2 0 2 1 2 1 1 0 1 1 1 0 2 2 0 1 1 0 0 1 1 1 2 1 0 2 2 0 1 2 0 1 1 0 1 2 2 0 1 1 0 0 0 1 1 1 1 1 2 0 0 0 1 1 1 2 0 0 1 2 2 2
1 0 0 0 1 1 2 2 1 0 2 2 2 2 1 1 0 2 0 1 0 1 1 1 1 0 0 0 1 1 2 2 0 2 2 2 2 1 2 0 2 2 2 1 0 0 1 1 2 2 0 1 1 2 2 1 2 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 2 0 0 0 2 2 0 0 0 2 2 1 0 2 0 0 1 1 1 1 2 1 1
1 1 0 1 0 2 2 0 1 2 0 1 2 2 1 1 0 0 2 0 0 1 2 2 0 2 0 0 1 2 2 2 2 2 2 0 2 0 0 1 1 2 2 1 0 1 0 0 1 0 1 2 0 1 0 2 1 1 2 0 2 1 2 1 1 0 2 0 1 1 2 1 0 2 1 1 2 1 2 2 0 1 1 0 2 2 1 0 0 1 2 1 2 1 1
2 1 1 2 0 1 2 2 1 0 2 0 1 1 0 0 2 0 0 0 2 2 1 2 1 1 0 0 2 1 2 0 2 1 2 2 1 2 0 0 0 1 0 2 2 1 0 0 2 0 2 2 0 0 0 1 1 1 2 1 1 1 0 1 2 1 2 1 1 2 1 1 0 0 2 0 2 2 0 2 1 0 1 2 1 2 1 1 2 0 0 0 0 0 2
1 2 0 2 0 0 1 2 2 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 2 0 2 2 0 2 0 1 2 0 1 0 1 1 0 2 1 1 2 2 0 1 0 2 2 2 2 1 1 2 1 1 0 1 0 2 1 0 0 2 1 1 0 0 0 2 0 2 0 2 2 0 0 2 2 0 1 2 2 0 1 1 1 2 2 1 1 1 2 2 1
0 0 2 1 2 1 2 2 1 0 0 1 0 2 2 2 2 1 0 2 0 0 0 0 1 2 2 0 1 1 1 1 1 1 1 0 0 1 0 0 0 1 2 2 1 0 2 0 0 1 2 2 1 1 0 2 2 2 2 2 1 0 2 0 0 2 1 2 1 2 2 2 0 0 0 1 0 1 2 1 0 1 1 2 2 0 2 1 0 1 1 1 1 1 2
0 1 2 2 0 1 2 0 1 0 0 0 1 2 2 0 2 2 2 1 1 0 0 1 1 0 0 2 2 0 0 1 2 0 1 2 2 2 1 1 2 1 0 1 2 0 1 0 0 2 0 2 2 2 1 2 1 2 1 0 0 1 1 1 1 0 2 1 0 1 2 1 2 1 2 2 1 2 2 0 1 0 0 2 0 0 0 0 0 1 1 2 2 1 0
2 0 1 2 0 0 0 1 2 1 0 1 2 2 2 2 1 0 0 2 2 1 2 2 2 0 0 1 0 1 2 2 0 1 1 1 0 1 0 2 2 0 0 0 1 0 2 0 2 0 1 1 1 0 2 2 1 2 0 0 2 1 2 0 1 1 0 0 1 1 0 0 0 1 2 1 0 2 1 2 1 2 1 1 2 0 1 2 0 0 0 1 0 1 0
1 2 1 0 1 0 2 0 1 0 0 1 2 0 2 1 1 2 0 0 0 1 2 1 2 1 2 0 2 1 2 1 1 0 1 1 1 2 0 1 1 0 2 2 2 0 0 0 0 0 1 1 1 0 2 0 0 2 2 1 2 2 1 0 2 0 0 0 0 1 2 0 2 2 1 2 2 2 0 2 2 0 0 1 1 1 0 1 0 0 1 1 2 2 0
2 2 1 0 1 0 0 0 1 1 0 0 0 1 2 2 1 1 2 1 1 1 0 0 2 2 0 2 0 0 1 2 2 0 2 1 1 1 1 0 2 2 0 0 0 1 1 2 1 2 2 0 2 1 0 1 1 1 0 0 1 2 2 0 0 2 2 0 1 0 0 0 0 1 0 2 0 1 0 1 0 2 2 0 1 2 2 2 1 1 0 1 2 2 0

PHF(5; 20,4,3)
1 1 3 1 0 2 2 0 2 2 0 1 1 0 3 2 3 3 0 3
0 2 3 1 1 2 3 2 1 3 3 2 1 0 3 2 0 2 0 1
0 2 0 1 1 2 1 0 3 0 2 3 2 1 3 0 2 1 3 0
2 1 1 0 1 0 3 3 2 0 2 3 0 0 0 1 3 2 1 3
0 2 2 3 1 1 1 2 2 0 2 3 0 2 1 3 1 1 0 3

PHF(6; 25,4,3)
2 3 1 0 0 1 1 2 2 3 3 3 3 3 2 1 1 2 2 2 0 3 0 2 1
0 3 3 3 1 0 2 2 1 2 1 0 1 3 1 2 0 3 2 0 2 2 0 0 1
1 0 3 2 1 1 2 1 1 3 3 2 3 1 0 0 0 2 2 3 3 3 0 3 2
1 0 3 1 3 3 0 0 0 1 3 3 2 1 2 3 1 1 2 2 2 3 2 0 1
1 0 1 0 1 0 3 1 0 0 3 1 2 2 0 2 3 3 1 3 0 2 1 2 2
1 0 0 3 0 2 2 3 1 0 0 2 3 3 2 2 0 0 0 1 2 1 3 0 2

PHF(8; 42,4,3)
2 0 1 1 0 1 1 3 2 2 1 2 0 2 2 3 3 3 1 0 3 0 0 0 0 3 2 2 3 0 2 3 0 3 0 2 3 1 0 1 1 2
2 0 1 3 0 1 3 1 3 3 0 2 1 0 1 2 3 3 2 1 0 3 2 2 0 2 0 2 1 1 3 2 1 3 2 3 2 0 2 1 3 1
3 1 2 0 1 3 0 3 2 0 3 0 1 2 2 3 3 2 2 3 1 1 0 0 0 0 3 1 2 2 1 1 1 0 3 3 2 0 0 3 0 1
0 3 2 2 0 2 2 0 3 0 3 2 0 1 2 3 1 1 1 1 2 2 3 1 1 0 1 2 0 3 2 3 1 2 2 3 2 3 0 0 3 1
3 1 1 1 0 0 2 1 2 2 0 2 2 0 0 2 0 1 0 3 3 0 1 2 3 3 1 1 3 2 3 0 2 1 3 1 2 2 0 2 3 3
1 1 0 3 3 1 2 0 1 3 2 0 2 2 3 3 0 3 0 3 0 0 3 2 0 2 3 1 3 1 3 1 1 1 2 2 2 0 1 0 0 1
2 2 2 3 2 3 2 1 2 1 1 3 3 3 1 0 2 1 0 3 3 0 3 2 1 3 0 0 0 0 2 2 1 1 1 1 3 3 0 2 0 0
1 1 3 0 3 1 3 2 3 1 1 3 1 0 2 2 0 1 1 3 1 1 2 2 0 0 0 0 3 0 2 0 3 3 1 3 2 2 2 0 3 2

PHF(3; 12,5,3)
2 4 4 4 0 1 0 2 3 3 3 1
3 1 0 4 0 1 2 0 2 4 3 3
1 4 0 1 3 2 1 2 4 2 3 0

PHF(5; 38,5,3)
0 4 2 2 1 4 1 1 4 1 1 0 2 3 0 2 3 2 4 1 4 4 3 1 2 3 2 3 0 0 2 4 3 3 0 0 0 2
0 3 4 0 3 4 4 3 2 0 2 1 3 4 2 2 0 1 2 1 0 1 4 0 2 1 3 2 4 4 1 3 1 3 0 3 1 4
2 1 1 3 0 2 3 4 0 4 1 4 1 0 3 3 3 3 4 3 3 2 1 2 2 1 4 2 0 4 2 0 0 2 1 3 0 4
3 0 2 0 1 1 3 0 2 2 1 4 1 2 0 2 1 3 3 0 4 0 0 4 4 2 3 0 4 0 1 3 3 4 1 2 1 4
3 1 1 4 0 4 4 3 1 0 4 4 2 3 0 3 3 2 4 1 0 3 0 2 1 4 0 2 1 2 0 2 0 4 1 4 2 3

PHF(6; 47,5,3)
0 0 4 2 2 2 1 4 1 4 4 1 3 0 4 0 2 4 4 2 2 1 0 3 0 4 3 2 2 1 3 0 3 4 0 2 0 4 3 3 1 3 3 4 2 1 1
2 0 3 2 2 3 3 3 1 0 3 3 1 4 0 2 2 2 4 3 0 4 1 3 1 1 4 4 4 3 0 3 1 4 2 1 3 0 2 1 2 0 2 2 0 0 4
0 0 1 1 4 0 4 3 0 1 0 2 1 4 2 2 4 3 2 1 4 1 2 2 0 1 3 2 0 3 4 3 4 3 1 3 4 2 0 2 3 1 4 3 0 4 0
1 4 2 2 4 4 1 3 2 3 1 1 3 3 0 1 0 2 4 0 2 2 4 2 0 1 0 2 1 2 1 3 4 4 4 1 0 3 3 3 4 0 2 0 3 4 0
0 3 1 4 1 2 4 4 1 2 3 1 2 1 2 4 2 2 3 3 3 0 1 3 0 3 4 0 3 0 2 2 3 0 0 0 4 1 3 4 3 0 0 1 4 0 2
3 2 0 3 1 0 4 4 4 2 2 3 4 2 0 2 4 1 4 4 3 2 0 2 0 1 4 0 1 1 0 3 3 3 4 2 1 1 0 1 0 1 2 2 1 4 3

PHF(3; 18,6,3)
1 0 3 2 0 2 1 5 2 5 1 4 5 0 3 3 4 4
1 0 5 1 5 4 2 4 3 1 0 2 2 3 0 4 3 5
5 2 0 2 3 3 3 4 0 1 4 2 0 5 1 5 1 4

PHF(5; 50,6,3)
0 0 5 2 1 5 2 3 5 1 3 2 1 5 2 5 2 1 4 3 2 5 0 3 0 2 1 3 0 4 5 5 1 4 0 3 1 3 1 0 0 2 4 4 3 0 1 3 4 5
1 2 0 4 4 4 5 1 5 3 5 1 2 5 0 0 1 0 1 4 5 1 0 0 0 3 1 4 1 2 3 3 5 4 2 1 3 3 3 5 0 2 4 3 2 5 5 0 0 2
1 5 5 2 1 3 3 0 3 4 4 3 3 2 0 2 4 3 5 5 1 1 2 4 4 5 2 4 4 2 0 5 4 3 0 3 0 2 5 0 1 1 4 1 5 2 0 1 3 4
4 0 4 5 1 0 3 1 2 3 0 2 1 4 3 2 4 5 5 0 1 3 1 1 0 5 0 3 2 4 1 0 4 2 2 5 2 1 4 0 5 0 4 0 3 5 5 2 3 5
2 4 0 0 4 1 3 0 0 2 2 2 2 1 4 2 5 1 0 5 1 5 5 3 1 3 3 0 4 3 3 2 0 3 1 4 5 4 4 5 3 0 1 4 3 4 2 0 5 5

PHF(3; 22,7,3)
4 3 1 2 0 5 6 4 1 1 3 6 5 6 2 2 6 5 4 0 1 3
4 0 3 3 1 6 2 0 5 6 1 6 4 5 1 2 4 1 5 3 0 2
2 5 6 5 1 4 0 1 3 2 6 1 3 5 2 3 6 0 4 4 0 4

PHF(5; 70,7,3)
0 2 3 4 0 4 5 3 3 1 6 2 1 2 0 2 2 5 5 1 6 1 4 6 3 6 1 3 5 4 2 6 0 6 6 0 5 4 3 5 0 0 4 6 3 0 4 1 2 5 4 1 0 3 0 6 5 1 5 3 4 2 1 2 6 3 5 1 1 0
4 4 4 4 3 5 1 0 2 0 3 5 0 2 3 4 3 5 5 6 3 6 1 0 3 3 1 6 0 2 6 0 1 1 6 6 5 1 1 2 0 1 6 2 2 3 0 2 1 5 2 6 6 0 5 1 2 5 3 5 6 0 4 2 4 4 4 4 3 2
0 4 4 6 4 4 4 2 1 0 5 1 6 3 0 0 1 4 6 1 3 0 0 0 2 6 1 3 2 2 6 5 2 6 1 2 2 6 3 5 1 5 3 0 3 6 3 4 2 1 5 4 3 6 1 4 6 3 6 5 0 4 5 1 3 5 2 1 5 3
5 3 6 3 1 4 4 0 4 0 5 2 4 3 3 0 4 1 4 2 3 4 2 4 2 2 5 3 2 1 1 3 3 0 5 6 6 6 1 5 1 4 1 1 6 5 2 2 4 3 0 0 4 5 0 2 6 6 1 0 6 6 2 0 4 1 5 1 6 2
2 3 4 1 0 0 4 1 4 4 3 4 1 0 6 0 2 2 3 0 4 5 1 3 3 5 4 2 0 4 6 0 4 0 1 0 6 2 0 0 6 6 5 2 6 4 2 5 1 5 3 2 3 2 3 6 5 2 1 5 3 5 2 6 5 1 5 3 6 1

PHF(3; 31,8,3)
7 4 7 2 1 0 2 3 0 6 2 3 5 1 0 2 3 4 6 6 0 4 3 6 7 1 5 5 5 4 1
6 0 7 2 3 7 0 6 1 3 5 7 1 4 4 1 0 6 7 0 2 5 1 2 3 5 4 5 6 3 2
2 0 0 5 3 3 3 6 2 6 6 5 0 4 6 4 7 4 4 2 7 1 1 1 7 2 5 7 3 5 0

PHF(3; 36,9,3)
5 5 0 2 5 1 0 6 1 2 2 4 3 1 3 6 8 4 1 3 7 6 8 3 5 7 7 0 7 6 8 8 2 4 4 0
4 7 2 3 6 5 1 7 6 4 7 1 0 1 5 8 4 3 8 6 2 1 2 7 2 5 0 5 3 0 6 8 8 0 4 3
5 3 2 8 6 8 7 2 2 1 7 3 5 0 4 4 0 4 5 1 1 1 8 0 4 3 7 6 0 8 7 3 6 6 2 5

PHF(3; 43,10,3)
4 8 0 9 3 3 9 8 4 1 5 0 0 9 5 2 2 1 8 3 7 6 6 3 5 7 2 8 0 9 4 7 6 1 3 6 5 0 7 6 1 5 2
1 4 5 4 1 3 3 0 2 2 9 8 2 8 6 2 7 7 1 5 3 4 8 9 8 4 4 3 9 5 7 7 0 9 7 6 3 1 6 2 0 0 5
2 9 4 5 1 8 6 7 9 1 0 8 5 7 9 7 6 3 0 9 2 3 2 7 1 1 8 4 6 0 4 0 6 2 5 4 3 3 7 0 8 5 2

PHF(3; 49,11,3)
6  9 3 8 5 9 4 5 1 7 4  5 3 10 1  6 0 10 1 3  8 3 10 9 4 9 10 5 2 6 10 6 1 0 6 4 8 0 2 0 9 7 0  2  4 7  7 7 2
10 2 6 2 0 9 1 5 1 8 5  1 3 9  10 3 2 1  6 10 8 9 7  3 7 0 6  9 4 5 8  4 4 5 0 2 3 9 6 8 7 7 10 3  4 0  6 4 1
3  2 4 0 6 3 9 2 0 3 10 4 6 10 10 8 6 7  8 2  5 0 6  7 5 1 1  8 2 0 2  4 6 7 5 8 9 9 5 4 4 0 1  10 1 10 9 7 3

PHF(3; 57,12,3)
0  4 3 4 2 1 5 5  11 10 9 2 7  3 4  10 8 8  5 8 1  3 9  1 2 7 1 6 10 6  11 7 1 3 10 9  0 5 7  0  0  9 11 0 5  4 4 10 11 6 9 8 7  6 8 2  3
11 8 7 0 6 7 6 10 11 4  5 9 3  8 2  1  0 10 2 6 4  3 7  5 3 9 6 1 10 10 2  5 3 4 5  8  5 4 1  6  10 9 0  0 11 1 9 8  3  9 0 8 11 7 2 11 2
9  8 3 4 4 7 8 1  3  10 0 1 10 1 10 9  5 0  7 3 11 5 10 1 2 7 6 2 6  4  11 4 9 0 3  11 2 2 11 10 11 9 1  7 5  0 3 7  8  5 6 2 6  8 9 0  6

PHF(3; 5,4,4)
2 3 1 0 1
3 0 1 0 2
1 0 2 1 3

PHF(5; 6,4,4)
2 1 0 3 0 1
2 3 2 0 1 0
3 1 2 3 1 0
0 3 1 1 2 2
0 3 3 2 1 0

PHF(6; 8,4,4)
0 3 0 3 2 2 1 1
1 3 2 1 2 0 0 3
1 0 0 3 2 1 3 2
3 3 0 0 2 1 2 1
1 3 2 0 0 3 2 1
0 3 1 2 0 1 3 2

PHF(8; 9,4,4)
3 0 1 2 1 3 1 2 0
2 1 0 0 1 3 2 3 2
0 0 2 2 2 2 3 1 1
3 3 0 2 2 1 3 0 1
1 3 0 3 1 0 2 2 2
1 1 2 3 2 3 0 1 1
1 3 2 1 0 3 0 0 2
0 1 1 3 2 3 3 0 2

PHF(3; 7,5,4)
3 1 0 3 1 2 4
4 4 0 1 1 2 3
1 4 0 3 2 0 0

PHF(4; 8,5,4)
3 1 1 0 4 0 2 4
4 3 1 0 2 4 2 0
0 2 4 3 4 1 2 0
4 0 4 3 2 0 3 1

PHF(5; 10,5,4)
4 4 2 1 2 0 3 3 0 1
3 1 0 3 4 4 2 1 2 0
4 3 4 0 2 1 2 1 0 3
1 4 0 3 4 2 3 3 0 3
1 2 3 0 0 4 1 3 2 4

PHF(6; 11,5,4)
2 3 2 0 3 2 4 4 3 1 1
3 3 1 0 4 4 0 1 2 0 2
0 1 2 3 3 1 0 4 3 2 4
1 2 1 0 3 4 2 0 2 3 4
4 3 0 0 4 0 1 3 2 1 2
1 2 0 4 4 3 3 4 0 2 1

PHF(7; 12,5,4)
0 3 4 4 1 3 0 2 3 1 4 2
1 2 1 4 2 0 0 2 4 3 3 3
1 0 2 2 2 3 0 4 1 3 4 1
3 0 0 4 2 1 2 1 3 0 3 4
0 0 3 1 2 3 1 2 2 0 4 3
4 1 2 3 4 3 2 2 0 0 4 1
2 3 4 3 1 2 0 3 4 0 0 1

PHF(8; 14,5,4)
1 1 1 4 2 4 3 0 3 0 2 2 0 3
3 2 3 3 1 4 1 0 2 1 2 4 4 0
1 3 2 3 4 2 1 4 4 2 0 0 1 0
4 0 2 1 4 3 3 0 2 0 3 1 1 1
4 0 2 3 1 4 2 2 3 4 4 3 1 0
4 2 0 3 3 1 0 1 2 3 4 1 2 4
0 4 3 2 2 0 2 4 4 1 3 1 3 0
0 1 4 3 1 1 2 3 0 0 3 2 4 4

PHF(3; 6,5,5)
3 1 0 4 1 2
0 2 3 1 4 1
0 4 0 1 2 3

PHF(6; 7,5,5)
2 3 0 3 3 4 1
2 3 4 4 0 1 2
0 3 4 2 1 0 1
4 0 3 2 0 1 3
3 1 2 1 4 2 0
4 2 4 1 0 2 3

PHF(8; 8,5,5)
0 4 3 3 4 2 0 1
2 1 0 4 3 3 0 1
4 2 0 3 3 1 2 1
0 4 0 3 1 2 4 2
3 2 0 1 3 1 4 0
2 3 1 2 1 4 4 0
1 3 4 1 4 0 2 3
4 1 3 1 0 2 2 4

PHF(11; 9,5,5)
2 0 1 3 3 4 4 1 0
1 4 1 3 1 0 2 3 4
3 0 1 4 2 2 0 1 3
1 2 3 4 4 0 1 2 0
1 0 3 4 1 2 0 2 4
4 0 2 1 0 3 1 3 2
0 4 1 2 3 3 0 2 1
1 0 2 4 1 3 0 4 0
3 1 4 0 4 2 0 1 3
1 3 4 2 3 0 4 1 0
2 4 0 3 0 1 1 2 3

PHF(13; 10,5,5)
3 4 2 0 3 1 0 4 1 2
2 0 4 1 1 3 3 4 0 2
1 1 3 0 2 4 0 4 3 2
3 0 1 1 2 3 4 4 2 0
4 3 4 2 2 1 3 0 0 1
4 1 2 0 2 4 3 0 1 3
3 4 4 2 1 2 0 3 0 1
2 3 4 1 3 2 0 4 0 1
3 1 0 2 4 4 1 3 2 0
1 2 3 0 4 3 4 2 1 0
1 3 4 2 3 2 4 0 1 0
2 3 3 2 0 0 1 1 4 4
2 3 2 4 1 3 0 1 4 0

PHF(18; 11,5,5)
2 0 4 4 3 4 2 3 1 1 0
4 0 3 1 1 3 2 2 3 0 4
4 3 0 2 1 3 3 0 4 1 2
0 4 0 2 3 0 1 4 3 2 1
1 1 2 1 4 0 3 0 2 0 3
0 2 4 1 4 2 1 2 3 0 3
1 3 1 3 0 4 4 2 2 4 0
3 3 3 4 4 1 0 2 0 2 4
0 1 1 3 4 3 4 2 3 0 2
0 4 4 2 0 1 2 3 3 3 1
3 2 1 0 3 2 4 0 1 3 4
1 0 3 3 0 2 4 1 2 4 1
2 3 1 0 4 4 1 2 0 3 4
2 2 4 0 3 3 0 3 1 1 4
1 4 4 0 1 4 3 0 3 2 2
2 4 1 0 3 2 3 2 4 0 1
3 2 3 1 4 4 2 3 0 1 0
4 1 2 2 0 3 4 0 1 1 0

PHF(23; 12,5,5)
3 2 1 1 0 3 4 2 0 2 0 4
3 3 0 2 3 0 1 1 4 4 1 2
2 1 1 4 2 0 4 1 0 4 3 3
4 0 3 1 1 2 0 1 4 3 2 3
1 4 3 0 3 2 1 2 1 2 0 4
1 2 3 2 4 2 0 3 4 1 0 1
4 1 3 0 0 1 3 2 2 3 1 4
3 2 4 4 0 1 1 3 0 3 3 2
2 1 1 3 3 0 2 4 1 3 4 0
0 4 2 0 3 4 2 3 0 1 1 3
4 0 3 2 1 2 4 1 3 4 3 0
4 4 1 2 3 1 0 0 2 2 3 1
0 2 4 2 4 1 3 1 3 0 0 4
1 4 2 0 3 1 4 0 2 4 1 3
1 0 1 2 2 4 3 1 4 0 3 3
0 3 4 1 0 3 1 3 2 4 0 2
2 4 1 3 4 0 0 2 0 2 1 3
0 2 4 4 1 1 1 0 2 3 2 3
0 4 4 1 4 3 1 3 1 2 0 0
0 4 3 1 0 0 3 2 4 2 1 1
3 0 1 3 2 2 4 0 1 3 4 1
2 1 4 3 3 1 1 0 3 0 2 4
4 1 4 0 3 0 3 2 1 1 4 2

PHF(28; 13,5,5)
1 2 3 4 2 0 2 3 1 1 4 0 2
1 3 0 4 1 2 2 3 4 0 1 0 4
3 1 0 1 2 3 4 4 0 2 3 3 2
0 2 4 0 3 3 1 4 2 4 2 1 0
1 1 3 3 0 2 4 2 2 4 0 0 1
4 3 4 3 1 4 0 0 3 1 0 2 2
0 4 3 1 3 1 2 3 0 0 2 2 4
3 3 1 4 2 2 4 0 3 0 1 2 1
4 2 0 4 0 2 3 3 3 0 1 2 1
4 0 3 1 1 0 0 0 3 4 2 2 4
1 4 3 0 1 2 4 2 0 0 4 1 3
3 0 2 0 3 1 2 0 2 4 1 4 3
1 2 3 0 0 3 4 2 4 4 1 0 1
2 3 0 0 3 4 1 2 3 0 1 2 4
4 0 4 1 3 0 2 3 0 1 4 2 2
2 4 0 2 3 1 3 0 1 4 0 4 3
1 4 0 2 4 3 0 2 1 3 2 1 3
0 1 0 3 2 3 2 4 2 1 3 4 4
0 4 1 4 2 4 0 0 2 3 1 1 3
2 1 3 0 4 3 2 0 1 3 4 4 4
2 3 2 1 1 3 3 1 4 0 4 0 2
4 0 4 3 1 3 0 1 4 2 2 1 3
1 0 0 3 4 1 4 2 2 3 3 0 2
3 1 0 4 2 0 0 3 4 4 2 1 2
0 2 1 1 2 3 1 1 4 0 2 4 3
1 4 2 3 4 0 3 0 1 4 0 2 3
3 0 0 1 4 4 1 2 2 4 1 3 3
3 3 0 2 0 2 0 2 1 4 4 4 1

PHF(3; 7,6,5)
4 1 4 5 2 0 3
4 2 1 5 3 0 0
2 4 3 4 0 1 5

PHF(4; 8,6,5)
4 3 0 1 4 2 5 1
0 2 4 3 4 1 0 5
3 5 1 0 4 0 2 5
5 4 3 0 2 4 3 1

PHF(6; 9,6,5)
4 3 3 3 1 1 2 5 0
2 4 3 1 4 2 0 5 0
3 4 2 2 0 5 1 1 1
3 3 4 3 0 2 5 4 1
1 3 4 5 0 2 0 2 1
2 3 0 5 2 1 1 4 4

PHF(7; 10,6,5)
4 1 5 1 0 5 0 2 3 2
0 5 1 4 2 5 3 4 0 1
3 2 4 1 3 5 4 5 4 0
2 3 0 1 0 4 5 2 4 1
5 4 2 5 0 1 1 4 0 3
5 5 3 0 0 1 2 2 4 5
2 4 0 5 1 1 4 3 5 0

PHF(8; 11,6,5)
5 4 2 4 5 0 1 3 2 1 0
3 5 4 4 2 3 0 2 0 1 1
1 2 4 5 0 3 4 2 5 1 0
1 5 4 1 3 2 3 2 0 5 0
5 3 4 0 3 0 2 1 1 4 5
3 2 3 0 4 5 5 1 2 1 0
4 3 3 2 1 5 2 0 1 5 0
3 2 4 1 5 4 0 0 3 5 2

PHF(10; 12,6,5)
5 0 0 1 4 2 5 2 4 3 1 3
2 2 4 5 0 5 3 0 1 1 3 4
1 3 5 1 2 3 0 5 3 0 2 4
5 3 2 1 4 2 4 3 5 1 0 0
2 5 0 5 3 4 1 1 0 4 2 3
0 5 3 4 1 0 3 2 4 5 0 2
0 4 1 3 3 5 5 0 2 1 2 4
4 0 3 2 0 3 2 5 5 1 1 4
3 5 3 4 2 1 5 4 0 2 1 0
3 0 4 3 4 2 5 1 5 1 0 3

PHF(4; 7,6,6)
5 1 4 3 3 0 2
0 4 5 2 1 3 4
2 3 4 1 5 2 0
1 5 3 3 4 0 2

PHF(8; 8,6,6)
4 3 5 0 1 4 2 2
4 5 1 1 3 4 0 2
5 1 3 2 2 4 0 3
5 0 1 0 2 3 1 4
2 5 1 2 5 4 3 0
4 2 2 0 3 5 1 1
0 1 4 2 5 3 3 5
0 0 2 1 5 5 4 3

PHF(13; 9,6,6)
5 3 0 0 4 2 1 5 3
1 5 2 0 4 0 4 3 2
4 5 0 3 1 2 1 5 3
0 1 3 2 0 3 4 4 5
5 3 3 0 1 1 2 4 5
4 4 5 0 0 5 2 3 1
1 0 3 5 0 4 1 2 2
0 2 0 4 3 5 4 3 1
1 4 5 0 5 4 3 2 0
2 0 4 0 3 3 1 1 5
1 4 1 3 5 0 0 2 4
5 2 3 4 0 5 1 4 1
3 4 4 1 2 0 5 1 0

PHF(18; 10,6,6)
4 1 1 5 2 4 3 0 5 0
1 0 2 2 3 3 5 0 1 4
3 2 1 2 5 3 4 0 5 4
3 1 2 4 5 3 5 2 0 0
4 3 4 2 1 0 0 1 5 3
5 4 4 0 5 0 3 2 3 1
0 0 2 2 5 3 1 3 4 2
0 5 5 1 2 4 2 1 3 4
1 4 0 3 3 2 5 2 5 1
0 2 4 1 5 0 3 3 2 4
3 5 2 5 1 0 2 4 1 4
5 1 2 5 0 1 4 3 3 4
0 1 2 0 4 1 3 2 4 5
5 4 1 0 1 2 5 3 4 0
1 0 3 2 0 3 2 4 1 5
5 2 3 4 3 1 0 2 4 0
5 3 2 4 0 1 3 5 1 0
5 0 1 1 5 2 4 3 4 3

PHF(4; 8,7,6)
3 1 2 5 6 0 4 6
4 2 3 6 1 0 1 5
2 2 4 1 6 5 0 3
5 6 3 3 0 4 1 2

PHF(6; 9,7,6)
0 3 5 1 4 4 2 0 6
4 2 6 3 5 3 0 5 1
0 1 1 5 4 6 2 3 0
0 3 5 1 6 1 1 2 4
2 5 6 4 0 1 2 3 0
4 6 2 3 5 1 2 6 0

PHF(8; 10,7,6)
0 6 4 4 0 1 3 2 5 1
1 0 4 6 2 2 0 4 3 5
0 6 3 2 4 5 1 0 5 3
3 1 0 5 6 5 6 2 1 4
2 5 3 6 1 0 5 1 4 2
2 5 4 5 6 4 0 3 1 3
5 3 5 2 0 1 6 1 0 4
3 1 1 5 0 2 5 6 3 4

PHF(11; 11,7,6)
3 5 6 5 0 2 2 6 1 4 4
1 3 5 6 2 5 0 4 2 4 6
4 3 2 0 2 5 3 6 1 1 4
6 2 3 0 5 1 4 2 6 4 3
3 6 4 5 1 5 2 2 0 3 1
3 5 0 6 3 1 4 6 5 2 2
4 4 2 5 3 1 2 6 1 5 0
0 0 1 2 2 1 6 4 3 5 0
3 5 5 2 3 4 1 4 1 0 6
1 0 3 2 5 2 0 5 3 4 6
1 6 3 2 5 5 1 4 0 2 0