´

3-(8,4,lambda;2) designs admitting the normalizer of a singer cycle as an automorphism group

 

The Group A

Name: Normalizer_singer_cycle8

Subgroup of GL(8,2)

Order: 2040

Generator:
1 0 0 0 1 0 1 1
0 0 0 0 0 0 0 1
0 1 0 0 1 1 1 0
0 0 0 0 1 0 1 0
0 0 1 0 1 1 0 1
0 0 0 0 0 1 0 0
0 0 0 1 0 1 1 0
0 0 0 0 0 0 1 0

Generator:
0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 1
0 0 1 0 0 0 0 1
0 0 0 1 0 0 0 1
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0


The Kramer-Mesner Matrix M^A_{3,4}

Number of rows: 53

Number of columns: 109

2 0 1 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 2 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 1 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 2 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 0 3 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 2 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 2 2 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 0 2 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 2 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 2 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0
1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 4 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0
1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 1 0 0 0 0 1 2 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 2 0 1 0 1 0 0 0 0 0 0 0 0
1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 2 0 1 0 2 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 2 0 0 0 0 0 0 0 0 1
1 2 1 2 1 1 2 1 3 2 1 2 1 2 2 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 0 0 1 2 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 0
1 0 0 1 2 1 1 1 0 0 1 1 2 1 0 2 3 1 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 1 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 2 1 1 1 1 0 1 0 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0
0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 2 0 0 0 0 0 0 1 1 2 0 1 0 1 0 1 0 0 0 1 1 2 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0
0 2 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 2 2 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 3 0 1 0 1 0 0 0 0
0 1 0 0 0 2 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 2 1 0 0 1 0 0 2 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0
0 1 0 0 0 2 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 0 2 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 2 0 0 0 1 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 3 0 3 0 0 1 0 1 1 0 0 1 0 1 1 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 2 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 2 0 0 0 2 0 2 0 2 2 0 0 0 2 2 0 2 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 0 0 3 0 0 0 0 0 0
0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 0 0 0 0 2 0 0 0 0 0 0 2 0 3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 2 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 1 0 0 0 0
0 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 2 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 1 1 0 0 0 0 0 1 0 2 1 0 0 1 0
0 0 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 1 3 0 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 1 0 0 0 0 2 1 1 0 0
0 0 1 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 0 0 0 0 1 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 2 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0
0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 2 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 2 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 2 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 0 0 0 1 0 2 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 2 0 2 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 2 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 2 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 0 0 0 1 0 0 0 0 0 0 2 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 2 0 2 1 1 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 2 0 0 2 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 2 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0
0 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 3 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 2 2 0 0 0 0 0 0 0 1 0 0
0 0 0 0 1 0 0 0 0 0 1 0 0 0 2 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 2 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 2 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0
0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 2 0 1 0 0 2 1 0 0 0 0
0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 0 2 0 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0
0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 2 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 0 0 0 0 1 2 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 2 1 0 1 0 0 0 0 2 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 2 0 0 1 0 0 1 0 1 0 1 0 0 1 0 2 0 0 2 0 0 1 0 0 2 0 0 0 1 0 0 3 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 2 0 0 0 1 0 3 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 1 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 2 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 2 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 2 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 2 1 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0
0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 2 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0
0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 2 0 0 1 0 0 0 1 0 0 0 0 0 1 1 2 0 2 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 2 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 2 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 2 0 0 0 0 0 1 0 0 0 0 1 0 2 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 2 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 2 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 2 0 3 0 0 1 0 2 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0
0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 2 0 0 1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 3 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 3 4 2 0 1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 1 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 2 0 4 0 0 1 0 0 0 0 0 0 0 1 0


The orbits of A on the set of 3-subspaces of GF(2)^8

Number of orbits: 53

Nr

Representative

orbit length

0

[ 0 1 0 0 1 1 1 1 ]
[ 0 0 0 1 1 1 1 0 ]
[ 0 0 1 0 0 1 1 0 ]

2040

1

[ 0 0 0 1 0 0 0 1 ]
[ 0 1 0 1 1 0 1 0 ]
[ 0 0 1 0 0 1 1 0 ]

2040

2

[ 0 0 0 1 1 1 1 0 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 0 1 1 0 ]

2040

3

[ 0 0 0 0 1 0 1 0 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 1 1 0 0 ]

2040

4

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 1 1 0 ]
[ 0 0 1 1 1 0 1 0 ]

2040

5

[ 0 0 0 1 0 1 1 0 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

6

[ 0 0 1 1 0 1 1 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 0 1 0 1 0 0 ]

2040

7

[ 0 0 0 1 0 0 1 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 1 1 1 0 0 ]

2040

8

[ 0 0 1 0 0 0 1 1 ]
[ 0 0 1 1 1 0 0 0 ]
[ 0 0 0 0 0 1 1 0 ]

255

9

[ 0 0 0 0 1 0 0 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 0 0 0 1 0 ]

2040

10

[ 0 1 0 0 1 1 1 1 ]
[ 0 0 0 0 0 1 1 0 ]
[ 0 0 1 1 1 0 1 0 ]

2040

11

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 1 1 1 1 0 ]
[ 0 0 1 1 0 0 1 0 ]

2040

12

[ 0 0 0 1 1 0 1 1 ]
[ 0 1 0 1 1 1 0 0 ]
[ 0 0 1 0 0 0 0 0 ]

2040

13

[ 0 0 0 1 0 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 1 1 0 0 ]

2040

14

[ 0 0 0 1 1 0 0 0 ]
[ 0 1 0 1 1 0 1 0 ]
[ 0 0 1 1 1 1 0 0 ]

2040

15

[ 0 0 0 1 1 1 0 1 ]
[ 0 1 0 1 1 1 0 0 ]
[ 0 0 1 1 0 1 0 0 ]

2040

16

[ 0 0 0 1 0 1 1 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 1 1 0 0 0 ]

2040

17

[ 0 1 1 1 0 1 0 1 ]
[ 0 0 0 0 0 0 1 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

18

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 0 1 0 1 0 ]
[ 0 0 1 0 1 0 0 0 ]

2040

19

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 1 0 1 0 0 0 ]
[ 0 0 0 0 0 1 0 0 ]

2040

20

[ 0 0 1 1 1 1 0 1 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 0 1 1 0 1 0 ]

1020

21

[ 0 1 0 0 1 1 1 1 ]
[ 0 0 0 1 1 1 1 0 ]
[ 0 0 1 0 0 0 1 0 ]

1020

22

[ 0 1 0 0 1 1 0 0 ]
[ 0 0 0 0 1 0 1 0 ]
[ 0 0 1 0 0 0 0 0 ]

1020

23

[ 0 0 1 0 1 0 1 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 0 0 0 1 1 0 ]

1020

24

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 1 1 0 1 0 0 ]
[ 0 0 0 1 1 1 1 0 ]

2040

25

[ 0 0 0 1 1 1 1 0 ]
[ 0 1 0 0 0 1 1 0 ]
[ 0 0 1 0 0 1 0 0 ]

510

26

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 1 0 1 0 ]

1020

27

[ 0 0 0 1 1 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 1 1 0 0 ]

2040

28

[ 0 0 0 0 0 1 0 0 ]
[ 0 1 0 1 1 1 0 0 ]
[ 0 0 1 1 0 0 0 0 ]

2040

29

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 1 0 0 1 0 ]
[ 0 0 1 1 1 1 1 0 ]

2040

30

[ 0 0 0 0 1 0 1 1 ]
[ 0 1 0 1 1 0 1 0 ]
[ 0 0 1 0 0 1 1 0 ]

2040

31

[ 0 0 1 1 1 0 1 1 ]
[ 0 1 1 1 1 1 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

32

[ 0 0 0 1 1 1 1 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 1 0 1 1 0 ]

2040

33

[ 0 0 1 1 0 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 0 1 1 0 ]

2040

34

[ 0 0 0 1 1 0 0 0 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 1 1 1 1 0 ]

2040

35

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 0 0 1 1 0 ]

2040

36

[ 0 0 0 1 1 0 1 1 ]
[ 0 1 1 1 0 1 1 0 ]
[ 0 0 0 0 1 0 1 0 ]

2040

37

[ 0 0 0 1 0 0 0 1 ]
[ 0 1 0 0 1 0 0 0 ]
[ 0 0 1 1 0 1 0 0 ]

2040

38

[ 0 0 0 1 1 0 1 0 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 0 1 1 0 0 ]

2040

39

[ 0 0 0 0 1 0 1 1 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 0 1 1 0 0 ]

2040

40

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 1 1 1 0 0 0 ]
[ 0 0 0 0 1 0 1 0 ]

2040

41

[ 0 0 0 0 1 1 1 0 ]
[ 0 1 0 0 1 0 0 0 ]
[ 0 0 1 0 1 0 1 0 ]

2040

42

[ 0 0 0 0 1 1 1 1 ]
[ 0 0 0 1 1 1 0 0 ]
[ 0 0 1 0 0 1 1 0 ]

2040

43

[ 0 0 0 0 1 1 1 0 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 1 0 1 1 0 ]

2040

44

[ 0 0 0 0 1 0 0 1 ]
[ 0 1 0 1 1 1 1 0 ]
[ 0 0 1 1 1 1 0 0 ]

2040

45

[ 0 0 0 1 0 1 1 1 ]
[ 0 1 0 1 1 1 1 0 ]
[ 0 0 1 1 1 0 1 0 ]

2040

46

[ 0 0 0 1 1 0 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 1 1 0 1 0 ]

2040

47

[ 0 0 1 1 0 0 0 1 ]
[ 0 1 1 1 1 1 1 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

48

[ 0 0 0 1 1 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 1 0 1 0 0 ]

2040

49

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 1 0 1 0 ]

2040

50

[ 0 0 1 0 0 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 1 1 0 0 ]

2040

51

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 1 1 1 0 0 ]

1020

52

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 1 1 1 1 0 ]
[ 0 0 1 1 0 1 1 0 ]

510


The orbits of A on the set of 4-subspaces of GF(2)^8

Number of orbits: 109

Nr

Representative

orbit length

0

[ 0 0 0 0 0 1 0 1 ]
[ 0 1 0 1 1 1 0 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 0 1 0 0 0 ]

2040

1

[ 0 1 0 0 1 1 1 1 ]
[ 0 0 0 0 0 1 1 0 ]
[ 0 0 1 0 0 0 1 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

2

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 0 0 0 ]
[ 0 0 0 0 1 0 1 0 ]

1020

3

[ 0 0 0 0 0 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 0 0 0 ]
[ 0 0 0 0 1 0 1 0 ]

2040

4

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 1 1 1 0 0 ]
[ 0 0 1 1 1 1 1 0 ]
[ 0 0 0 0 1 0 0 0 ]

2040

5

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 1 0 1 0 ]
[ 0 0 1 0 0 0 0 0 ]
[ 0 0 0 1 1 1 1 0 ]

2040

6

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 1 0 0 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 0 0 1 0 ]

2040

7

[ 0 0 0 1 1 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 1 1 1 0 ]
[ 0 0 0 0 0 1 1 0 ]

2040

8

[ 0 0 0 0 0 1 0 0 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 0 0 0 ]
[ 0 0 0 0 1 0 1 0 ]

2040

9

[ 0 0 0 1 1 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 1 0 1 0 ]
[ 0 0 0 0 1 1 1 0 ]

2040

10

[ 0 0 0 0 1 0 0 1 ]
[ 0 1 0 0 0 1 1 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 1 1 1 0 ]

2040

11

[ 0 0 1 0 1 0 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 1 0 0 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

12

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 0 0 1 0 ]
[ 0 0 0 1 1 1 1 0 ]

2040

13

[ 0 0 0 1 0 0 1 1 ]
[ 0 1 0 1 0 1 0 0 ]
[ 0 0 1 0 1 1 0 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

14

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

15

[ 0 0 1 1 0 1 1 1 ]
[ 0 1 0 1 0 0 1 0 ]
[ 0 0 0 0 0 1 0 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

16

[ 0 0 0 1 0 0 1 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 1 1 1 1 0 ]
[ 0 0 0 0 0 1 1 0 ]

2040

17

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 0 0 1 0 0 ]

2040

18

[ 0 0 0 1 0 0 1 1 ]
[ 0 0 0 0 1 0 0 0 ]
[ 0 0 1 1 0 1 1 0 ]
[ 0 0 0 0 0 1 1 0 ]

2040

19

[ 0 0 0 0 0 1 1 0 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 1 1 0 0 0 ]
[ 0 0 0 0 1 0 1 0 ]

340

20

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 1 1 1 1 0 ]
[ 0 0 1 1 0 0 1 0 ]
[ 0 0 0 0 1 0 0 0 ]

2040

21

[ 0 0 0 0 0 0 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

22

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 1 1 0 ]
[ 0 0 1 0 0 0 1 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

23

[ 0 0 0 0 0 1 0 1 ]
[ 0 1 0 1 1 1 0 0 ]
[ 0 0 1 1 1 0 1 0 ]
[ 0 0 0 0 1 0 0 0 ]

2040

24

[ 0 0 0 0 1 0 1 1 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

25

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

26

[ 0 0 1 0 1 0 1 1 ]
[ 0 1 1 0 0 1 0 0 ]
[ 0 0 0 0 0 1 0 0 ]
[ 0 0 0 1 1 1 1 0 ]

2040

27

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 1 0 0 0 ]
[ 0 0 0 1 0 0 0 0 ]

2040

28

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 1 0 1 0 ]
[ 0 0 1 0 1 0 1 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

29

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 1 0 1 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

30

[ 0 0 0 0 1 0 0 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 1 1 0 ]

2040

31

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 1 0 1 0 ]
[ 0 0 1 0 0 0 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

32

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 0 0 1 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

33

[ 0 0 0 1 1 0 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 1 1 0 0 ]
[ 0 0 0 0 1 0 1 0 ]

2040

34

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 1 0 0 0 ]
[ 0 0 1 1 1 0 1 0 ]
[ 0 0 0 0 1 0 1 0 ]

2040

35

[ 0 0 0 0 1 1 0 1 ]
[ 0 0 0 0 0 0 1 0 ]
[ 0 0 1 0 1 0 1 0 ]
[ 0 0 0 1 1 1 0 0 ]

2040

36

[ 0 0 0 0 1 0 1 1 ]
[ 0 0 0 0 0 1 0 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

37

[ 0 0 0 0 0 0 1 0 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

38

[ 0 0 0 0 1 0 1 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 1 1 1 0 0 ]
[ 0 0 0 0 0 1 0 0 ]

2040

39

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

40

[ 0 0 0 0 1 0 1 1 ]
[ 0 1 0 0 0 1 1 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 1 0 0 ]

2040

41

[ 0 0 1 0 0 0 1 1 ]
[ 0 1 0 0 0 1 1 0 ]
[ 0 0 0 0 0 0 1 0 ]
[ 0 0 0 1 0 0 0 0 ]

2040

42

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 0 1 0 1 0 ]
[ 0 0 1 0 1 0 0 0 ]
[ 0 0 0 1 1 1 1 0 ]

2040

43

[ 0 0 1 0 0 0 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 0 0 1 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

44

[ 0 1 0 0 1 1 1 1 ]
[ 0 0 0 0 0 1 1 0 ]
[ 0 0 1 0 0 0 1 0 ]
[ 0 0 0 1 1 0 0 0 ]

2040

45

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 0 0 1 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

46

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 1 0 0 0 ]
[ 0 0 0 1 1 1 1 0 ]

2040

47

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 1 0 0 0 ]

2040

48

[ 0 0 0 0 0 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 0 1 0 0 ]

2040

49

[ 0 0 0 1 1 1 1 1 ]
[ 0 1 0 0 1 0 0 0 ]
[ 0 0 1 1 1 1 1 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

50

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 0 0 0 0 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

51

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 0 1 0 1 0 ]
[ 0 0 1 0 1 0 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

52

[ 0 0 1 0 1 0 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 1 0 0 0 ]
[ 0 0 0 1 0 1 0 0 ]

2040

53

[ 0 0 0 1 1 1 1 1 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 1 0 1 1 0 ]
[ 0 0 0 0 1 1 1 0 ]

2040

54

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 1 1 1 1 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 0 0 1 0 0 ]

2040

55

[ 0 0 0 0 0 0 1 0 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 1 1 1 0 ]

2040

56

[ 0 0 0 1 1 0 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 0 0 1 0 ]
[ 0 0 0 0 1 1 0 0 ]

2040

57

[ 0 0 0 0 1 0 0 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

58

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 1 1 1 0 0 ]
[ 0 0 1 1 1 1 0 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

59

[ 0 0 0 0 0 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 1 1 0 0 ]
[ 0 0 0 1 0 1 0 0 ]

1020

60

[ 0 0 0 1 0 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 0 1 1 0 ]
[ 0 0 0 0 1 0 1 0 ]

2040

61

[ 0 0 0 0 0 1 0 0 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 0 0 0 0 0 ]
[ 0 0 0 1 0 0 0 0 ]

2040

62

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 1 0 1 0 ]
[ 0 0 1 1 0 1 0 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

63

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 0 1 0 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

64

[ 0 0 0 1 1 1 1 1 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 1 0 1 1 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

65

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 1 0 1 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

66

[ 0 0 0 0 0 1 0 0 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

67

[ 0 0 0 1 0 0 1 1 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 1 1 0 1 0 ]
[ 0 0 0 0 1 1 1 0 ]

2040

68

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 1 1 1 1 0 ]
[ 0 0 1 1 0 1 0 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

69

[ 0 0 0 1 0 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 1 0 1 0 ]
[ 0 0 0 0 0 1 0 0 ]

2040

70

[ 0 1 0 0 1 1 1 1 ]
[ 0 0 0 0 0 0 1 0 ]
[ 0 0 1 0 1 1 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

71

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 0 1 0 ]

1020

72

[ 0 0 0 0 0 1 0 0 ]
[ 0 1 0 0 0 1 1 0 ]
[ 0 0 1 0 0 0 0 0 ]
[ 0 0 0 1 1 1 0 0 ]

2040

73

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 1 1 0 0 ]
[ 0 0 0 0 0 1 1 0 ]

2040

74

[ 0 0 0 0 1 0 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

75

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 1 1 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

1020

76

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 1 1 0 0 ]
[ 0 0 0 0 0 1 0 0 ]

2040

77

[ 0 0 0 0 1 0 0 1 ]
[ 0 1 0 0 1 0 0 0 ]
[ 0 0 1 0 0 0 0 0 ]
[ 0 0 0 1 0 1 0 0 ]

2040

78

[ 0 0 0 0 1 0 1 1 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 0 1 1 0 0 ]
[ 0 0 0 1 1 0 1 0 ]

2040

79

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 1 0 0 ]

2040

80

[ 0 0 1 0 0 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 0 1 1 0 ]
[ 0 0 0 1 0 0 0 0 ]

2040

81

[ 0 0 0 1 1 1 0 1 ]
[ 0 1 0 0 1 1 1 0 ]
[ 0 0 1 1 0 1 1 0 ]
[ 0 0 0 0 1 1 0 0 ]

2040

82

[ 0 0 0 1 1 0 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 1 1 1 1 0 ]
[ 0 0 0 0 1 0 0 0 ]

2040

83

[ 0 0 1 0 1 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 1 0 1 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

84

[ 0 0 1 1 0 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 0 0 0 0 1 0 ]
[ 0 0 0 0 0 1 0 0 ]

2040

85

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 0 0 1 0 ]
[ 0 0 0 0 1 0 0 0 ]

2040

86

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 1 0 1 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

87

[ 0 0 0 0 1 0 0 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 0 1 1 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

510

88

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 1 1 1 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

89

[ 0 0 0 0 1 0 1 1 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 0 0 1 0 ]

2040

90

[ 0 0 0 0 0 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 1 1 0 ]

1020

91

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 1 1 0 0 ]
[ 0 0 0 1 0 1 0 0 ]

2040

92

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 1 0 0 0 ]
[ 0 0 0 1 0 0 0 0 ]

2040

93

[ 0 1 0 0 0 1 0 1 ]
[ 0 0 0 0 0 0 1 0 ]
[ 0 0 1 0 0 0 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

94

[ 0 0 0 1 1 0 1 1 ]
[ 0 1 0 0 0 1 0 0 ]
[ 0 0 1 1 1 1 1 0 ]
[ 0 0 0 0 0 1 1 0 ]

1020

95

[ 0 0 0 0 1 0 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 1 1 0 ]

1020

96

[ 0 0 0 0 0 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 1 0 0 1 0 ]
[ 0 0 0 0 0 0 1 0 ]

2040

97

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

2040

98

[ 0 0 0 1 1 0 1 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 1 1 1 1 0 ]
[ 0 0 0 0 1 0 1 0 ]

2040

99

[ 0 0 0 1 1 0 1 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 1 1 1 0 0 ]
[ 0 0 0 0 1 0 1 0 ]

510

100

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 1 1 1 0 ]
[ 0 0 0 1 0 1 0 0 ]

2040

101

[ 0 0 0 0 1 0 0 1 ]
[ 0 1 0 0 1 1 0 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 0 0 0 0 ]

1020

102

[ 0 0 0 0 1 1 1 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 1 1 0 0 ]
[ 0 0 0 1 0 1 1 0 ]

1020

103

[ 0 0 0 0 1 0 0 0 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 0 0 1 0 0 ]
[ 0 0 0 1 0 1 0 0 ]

2040

104

[ 0 1 0 0 1 1 1 1 ]
[ 0 0 0 0 0 1 0 0 ]
[ 0 0 1 0 0 1 1 0 ]
[ 0 0 0 1 1 0 1 0 ]

1020

105

[ 0 0 0 0 0 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 1 1 1 0 ]
[ 0 0 0 1 0 1 1 0 ]

510

106

[ 0 0 0 0 1 0 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 1 1 1 1 0 0 ]
[ 0 0 0 0 0 1 0 0 ]

510

107

[ 0 0 0 0 1 1 0 1 ]
[ 0 1 0 0 0 0 0 0 ]
[ 0 0 1 0 1 1 1 0 ]
[ 0 0 0 1 0 1 1 0 ]

510

108

[ 0 0 1 0 1 1 0 1 ]
[ 0 1 0 0 0 0 1 0 ]
[ 0 0 0 0 1 0 1 0 ]
[ 0 0 0 1 0 0 0 0 ]

17


Solution for lambda = 11

number of solutions: 1

1001101100010000000110000110001010001101000010000001011010100100010001101000001100011000101110000001001110001


Solution for lambda = 20

number of solutions: 1

0110010011101111111001111001110101110010111101111110100101011011101110010111110011100111010001111110110001110


Back to the title page


Michael Braun
2001-10-05

University of Bayreuth -