gf16.dat

通信类程序

2 4
16 1
FIELD_ELEMENTS:
0 0 0 0 
0 0 0 1 
0 0 1 0 
0 1 0 0 
1 0 0 0 
0 0 1 1 
0 1 1 0 
1 1 0 0 
1 0 1 1 
0 1 0 1 
1 0 1 0 
0 1 1 1 
1 1 1 0 
1 1 1 1 
1 1 0 1 
1 0 0 1 
ADDITION_TABLE:
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 
0 5 9 15 2 11 14 10 3 8 6 13 12 7 4 
0 6 10 1 3 12 15 11 4 9 7 14 13 8 
0 7 11 2 4 13 1 12 5 10 8 15 14 
0 8 12 3 5 14 2 13 6 11 9 1 
0 9 13 4 6 15 3 14 7 12 10 
0 10 14 5 7 1 4 15 8 13 
0 11 15 6 8 2 5 1 9 
0 12 1 7 9 3 6 2 
0 13 2 8 10 4 7 
0 14 3 9 11 5 
0 15 4 10 12 
0 1 5 11 
0 2 6 
0 3 
0 
MULTIPLICATION_TABLE:
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 
3 4 5 6 7 8 9 10 11 12 13 14 15 1 
5 6 7 8 9 10 11 12 13 14 15 1 2 
7 8 9 10 11 12 13 14 15 1 2 3 
9 10 11 12 13 14 15 1 2 3 4 
11 12 13 14 15 1 2 3 4 5 
13 14 15 1 2 3 4 5 6 
15 1 2 3 4 5 6 7 
2 3 4 5 6 7 8 
4 5 6 7 8 9 
6 7 8 9 10 
8 9 10 11 
10 11 12 
12 13 
14 
INVERSES_FOR_ADDITION:
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 
INVERSES_FOR_MULTIPLICATION:
0 1 15 14 13 12 11 10 9 8 7 6 5 4 3 2 
$
FIELD_ELEMENTS:
0 
1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
13 
14 
15 
ADDITION_TABLE:
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 
0 5 9 15 2 11 14 10 3 8 6 13 12 7 4 
0 6 10 1 3 12 15 11 4 9 7 14 13 8 
0 7 11 2 4 13 1 12 5 10 8 15 14 
0 8 12 3 5 14 2 13 6 11 9 1 
0 9 13 4 6 15 3 14 7 12 10 
0 10 14 5 7 1 4 15 8 13 
0 11 15 6 8 2 5 1 9 
0 12 1 7 9 3 6 2 
0 13 2 8 10 4 7 
0 14 3 9 11 5 
0 15 4 10 12 
0 1 5 11 
0 2 6 
0 3 
0 
MULTIPLICATION_TABLE:
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 
3 4 5 6 7 8 9 10 11 12 13 14 15 1 
5 6 7 8 9 10 11 12 13 14 15 1 2 
7 8 9 10 11 12 13 14 15 1 2 3 
9 10 11 12 13 14 15 1 2 3 4 
11 12 13 14 15 1 2 3 4 5 
13 14 15 1 2 3 4 5 6 
15 1 2 3 4 5 6 7 
2 3 4 5 6 7 8 
4 5 6 7 8 9 
6 7 8 9 10 
8 9 10 11 
10 11 12 
12 13 
14 
INVERSES_FOR_ADDITION:
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 
INVERSES_FOR_MULTIPLICATION:
0 1 15 14 13 12 11 10 9 8 7 6 5 4 3 2 
MINIMAL_POLYNOMIALS
2: 1 -> 1 2 
3: 1 -> 1 3 
4: 1 -> 1 4 
5: 1 -> 1 5 
6: 1 -> 1 6 
7: 1 -> 1 7 
8: 1 -> 1 8 
9: 1 -> 1 9 
10: 1 -> 1 10 
11: 1 -> 1 11 
12: 1 -> 1 12 
13: 1 -> 1 13 
14: 1 -> 1 14 
15: 1 -> 1 15