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 ] |
2040 |
|
1 |
[ 0 0 0 1 0 0 0 1 ] |
2040 |
|
2 |
[ 0 0 0 1 1 1 1 0 ] |
2040 |
|
3 |
[ 0 0 0 0 1 0 1 0 ] |
2040 |
|
4 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
5 |
[ 0 0 0 1 0 1 1 0 ] |
2040 |
|
6 |
[ 0 0 1 1 0 1 1 1 ] |
2040 |
|
7 |
[ 0 0 0 1 0 0 1 1 ] |
2040 |
|
8 |
[ 0 0 1 0 0 0 1 1 ] |
255 |
|
9 |
[ 0 0 0 0 1 0 0 1 ] |
2040 |
|
10 |
[ 0 1 0 0 1 1 1 1 ] |
2040 |
|
11 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
12 |
[ 0 0 0 1 1 0 1 1 ] |
2040 |
|
13 |
[ 0 0 0 1 0 1 1 1 ] |
2040 |
|
14 |
[ 0 0 0 1 1 0 0 0 ] |
2040 |
|
15 |
[ 0 0 0 1 1 1 0 1 ] |
2040 |
|
16 |
[ 0 0 0 1 0 1 1 1 ] |
2040 |
|
17 |
[ 0 1 1 1 0 1 0 1 ] |
2040 |
|
18 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
19 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
20 |
[ 0 0 1 1 1 1 0 1 ] |
1020 |
|
21 |
[ 0 1 0 0 1 1 1 1 ] |
1020 |
|
22 |
[ 0 1 0 0 1 1 0 0 ] |
1020 |
|
23 |
[ 0 0 1 0 1 0 1 1 ] |
1020 |
|
24 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
25 |
[ 0 0 0 1 1 1 1 0 ] |
510 |
|
26 |
[ 0 0 0 0 1 1 1 1 ] |
1020 |
|
27 |
[ 0 0 0 1 1 1 0 1 ] |
2040 |
|
28 |
[ 0 0 0 0 0 1 0 0 ] |
2040 |
|
29 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
30 |
[ 0 0 0 0 1 0 1 1 ] |
2040 |
|
31 |
[ 0 0 1 1 1 0 1 1 ] |
2040 |
|
32 |
[ 0 0 0 1 1 1 1 1 ] |
2040 |
|
33 |
[ 0 0 1 1 0 1 0 1 ] |
2040 |
|
34 |
[ 0 0 0 1 1 0 0 0 ] |
2040 |
|
35 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
36 |
[ 0 0 0 1 1 0 1 1 ] |
2040 |
|
37 |
[ 0 0 0 1 0 0 0 1 ] |
2040 |
|
38 |
[ 0 0 0 1 1 0 1 0 ] |
2040 |
|
39 |
[ 0 0 0 0 1 0 1 1 ] |
2040 |
|
40 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
41 |
[ 0 0 0 0 1 1 1 0 ] |
2040 |
|
42 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
43 |
[ 0 0 0 0 1 1 1 0 ] |
2040 |
|
44 |
[ 0 0 0 0 1 0 0 1 ] |
2040 |
|
45 |
[ 0 0 0 1 0 1 1 1 ] |
2040 |
|
46 |
[ 0 0 0 1 1 0 0 1 ] |
2040 |
|
47 |
[ 0 0 1 1 0 0 0 1 ] |
2040 |
|
48 |
[ 0 0 0 1 1 1 0 1 ] |
2040 |
|
49 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
50 |
[ 0 0 1 0 0 1 1 1 ] |
2040 |
|
51 |
[ 0 0 0 0 1 1 0 1 ] |
1020 |
|
52 |
[ 0 0 0 0 1 1 1 1 ] |
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 ] |
2040 |
|
1 |
[ 0 1 0 0 1 1 1 1 ] |
2040 |
|
2 |
[ 0 0 0 0 0 1 1 1 ] |
1020 |
|
3 |
[ 0 0 0 0 0 1 0 1 ] |
2040 |
|
4 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
5 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
6 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
7 |
[ 0 0 0 1 1 1 1 1 ] |
2040 |
|
8 |
[ 0 0 0 0 0 1 0 0 ] |
2040 |
|
9 |
[ 0 0 0 1 1 1 1 1 ] |
2040 |
|
10 |
[ 0 0 0 0 1 0 0 1 ] |
2040 |
|
11 |
[ 0 0 1 0 1 0 0 1 ] |
2040 |
|
12 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
13 |
[ 0 0 0 1 0 0 1 1 ] |
2040 |
|
14 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
15 |
[ 0 0 1 1 0 1 1 1 ] |
2040 |
|
16 |
[ 0 0 0 1 0 0 1 1 ] |
2040 |
|
17 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
18 |
[ 0 0 0 1 0 0 1 1 ] |
2040 |
|
19 |
[ 0 0 0 0 0 1 1 0 ] |
340 |
|
20 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
21 |
[ 0 0 0 0 0 0 1 1 ] |
2040 |
|
22 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
23 |
[ 0 0 0 0 0 1 0 1 ] |
2040 |
|
24 |
[ 0 0 0 0 1 0 1 1 ] |
2040 |
|
25 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
26 |
[ 0 0 1 0 1 0 1 1 ] |
2040 |
|
27 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
28 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
29 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
30 |
[ 0 0 0 0 1 0 0 1 ] |
2040 |
|
31 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
32 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
33 |
[ 0 0 0 1 1 0 1 1 ] |
2040 |
|
34 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
35 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
36 |
[ 0 0 0 0 1 0 1 1 ] |
2040 |
|
37 |
[ 0 0 0 0 0 0 1 0 ] |
2040 |
|
38 |
[ 0 0 0 0 1 0 1 1 ] |
2040 |
|
39 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
40 |
[ 0 0 0 0 1 0 1 1 ] |
2040 |
|
41 |
[ 0 0 1 0 0 0 1 1 ] |
2040 |
|
42 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
43 |
[ 0 0 1 0 0 0 1 1 ] |
2040 |
|
44 |
[ 0 1 0 0 1 1 1 1 ] |
2040 |
|
45 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
46 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
47 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
48 |
[ 0 0 0 0 0 1 0 1 ] |
2040 |
|
49 |
[ 0 0 0 1 1 1 1 1 ] |
2040 |
|
50 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
51 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
52 |
[ 0 0 1 0 1 0 0 1 ] |
2040 |
|
53 |
[ 0 0 0 1 1 1 1 1 ] |
2040 |
|
54 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
55 |
[ 0 0 0 0 0 0 1 0 ] |
2040 |
|
56 |
[ 0 0 0 1 1 0 0 1 ] |
2040 |
|
57 |
[ 0 0 0 0 1 0 0 1 ] |
2040 |
|
58 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
59 |
[ 0 0 0 0 0 1 0 1 ] |
1020 |
|
60 |
[ 0 0 0 1 0 1 1 1 ] |
2040 |
|
61 |
[ 0 0 0 0 0 1 0 0 ] |
2040 |
|
62 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
63 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
64 |
[ 0 0 0 1 1 1 1 1 ] |
2040 |
|
65 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
66 |
[ 0 0 0 0 0 1 0 0 ] |
2040 |
|
67 |
[ 0 0 0 1 0 0 1 1 ] |
2040 |
|
68 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
69 |
[ 0 0 0 1 0 1 0 1 ] |
2040 |
|
70 |
[ 0 1 0 0 1 1 1 1 ] |
2040 |
|
71 |
[ 0 0 0 0 1 1 0 1 ] |
1020 |
|
72 |
[ 0 0 0 0 0 1 0 0 ] |
2040 |
|
73 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
74 |
[ 0 0 0 0 1 0 1 1 ] |
2040 |
|
75 |
[ 0 0 0 0 1 1 0 1 ] |
1020 |
|
76 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
77 |
[ 0 0 0 0 1 0 0 1 ] |
2040 |
|
78 |
[ 0 0 0 0 1 0 1 1 ] |
2040 |
|
79 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
80 |
[ 0 0 1 0 0 1 0 1 ] |
2040 |
|
81 |
[ 0 0 0 1 1 1 0 1 ] |
2040 |
|
82 |
[ 0 0 0 1 1 0 0 1 ] |
2040 |
|
83 |
[ 0 0 1 0 1 1 0 1 ] |
2040 |
|
84 |
[ 0 0 1 1 0 1 1 1 ] |
2040 |
|
85 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
86 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
87 |
[ 0 0 0 0 1 0 0 1 ] |
510 |
|
88 |
[ 0 0 0 0 1 1 1 1 ] |
2040 |
|
89 |
[ 0 0 0 0 1 0 1 1 ] |
2040 |
|
90 |
[ 0 0 0 0 0 1 0 1 ] |
1020 |
|
91 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
92 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
93 |
[ 0 1 0 0 0 1 0 1 ] |
2040 |
|
94 |
[ 0 0 0 1 1 0 1 1 ] |
1020 |
|
95 |
[ 0 0 0 0 1 0 1 1 ] |
1020 |
|
96 |
[ 0 0 0 0 0 1 1 1 ] |
2040 |
|
97 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
98 |
[ 0 0 0 1 1 0 1 1 ] |
2040 |
|
99 |
[ 0 0 0 1 1 0 1 1 ] |
510 |
|
100 |
[ 0 0 0 0 1 1 0 1 ] |
2040 |
|
101 |
[ 0 0 0 0 1 0 0 1 ] |
1020 |
|
102 |
[ 0 0 0 0 1 1 1 1 ] |
1020 |
|
103 |
[ 0 0 0 0 1 0 0 0 ] |
2040 |
|
104 |
[ 0 1 0 0 1 1 1 1 ] |
1020 |
|
105 |
[ 0 0 0 0 0 1 0 1 ] |
510 |
|
106 |
[ 0 0 0 0 1 0 0 1 ] |
510 |
|
107 |
[ 0 0 0 0 1 1 0 1 ] |
510 |
|
108 |
[ 0 0 1 0 1 1 0 1 ] |
17 |
Solution for lambda = 11
number of
solutions: 1
1001101100010000000110000110001010001101000010000001011010100100010001101000001100011000101110000001001110001
Solution for lambda = 20
number of
solutions: 1
0110010011101111111001111001110101110010111101111110100101011011101110010111110011100111010001111110110001110
2001-10-05