Таблица 6.1

Таблица многочленов, не приводимых над полем

№ п/п Степень Многочлен Двоичная последовательность
1 1 x 1 11
2 2 x2 x 1 111
3 3 x3 x 1 1011
4 x3 x2 1 1101
5 4 x4 x 1 10011
6 x4 x3 1 11001
7 x4 x3 x2 x 1 11111
8 5 x5 x2 1 100101
9 x5 x3 1 101001
10 x5 x3 x 2 x 1 101111
11 x5 x4 x 2 x 1 110111
12 x5 x4 x 3 x 1 111011
13 x5 x4 x 3 x2 1 111101
14 6 x6 x 1 1000011
15 x6 x3 1 1001001
16 x6 x4 x 2 x 1 1010111
17 x6 x4 x 3 x 1 1011011
18 x6 x5 1 1100001
19 x6 x5 x 2 x 1 1100111
20 x6 x5 x 3 x2 1 1101101
21 x6 x5 x 4 x 1 1110011
22 x6 x5 x 4 x2 1 1110101
23 7 x7 x 1 10000011
24 x6 x3 1 10001001
25 x7 x3 x 2 x 1 10001111
26 x7 x4 1 10010001
27 x7 x4 x 3 x2 1 10011101
28 x7 x5 x 2 x 1 10100111
29 x7 x5 x 3 x 1 10101011
30 x7 x5 x 4 x3 1 10111001
31 x7 x5 x 4 x3 x2 x 1 10111111
32 x7 x6 1 11000001
33 x7 x6 x 3 x 1 11001011
34 x7 x6 x 4 x 1 11010011
35 x7 x6 x 4 x2 1 11010101
36 x7 x6 x 5 x2 1 11100101
37 x7 x6 x 5 x3 x2 x 1 11101111
38 x7 x6 x 5 x4 1 11110001
39 x7 x6 x 5 x4 x2 x 1 11110111
40 x7 x6 x 5 x4 x3 x2 1 11111101
41 8 x8 x4 x 3 x 1 100011011
42 x8 x4 x 3 x2 1 100011101
43 x8 x5 x 3 x 1 100101011
44 x8 x5 x 3 x2 1 100101101
45 x8 x5 x 4 x3 1 100111001
46 x8 x5 x 4 x3 x2 x 1 100111111
47 x8 x6 x 3 x2 1 101001101
48 x8 x6 x 4 x3 x2 x 1 101011111
49 x8 x6 x 5 x 1 101100011
50 x8 x6 x 5 x2 1 101100101
51 x8 x6 x 5 x3 1 101101001
52 x8 x6 x 5 x4 1 101110001
53 x8 x6 x 5 x4 x2 x 1 101110111
54 x8 x6 x 5 x4 x3 x 1 101111011
55 x8 x7 x 2 x 1 110000111
56 x8 x7 x 3 x 1 110001011
57 x8 x7 x 3 x2 1 110001101
58 x8 x7 x 4 x3 x2 x 1 110011111
59 x8 x7 x 5 x 1 110100011
60 x8 x7 x 5 x3 1 110101001
61 x8 x7 x 5 x4 1 110110001
62 x8 x7 x 5 x4 x3 x2 1 110111101
63 x8 x7 x 6 x 1 111000011
64 x8 x7 x 6 x3 x2 1 111001111
65 x8 x7 x 6 x4 x2 x 1 111010111
66 x8 x7 x 6 x4 x3 x2 1 111011101
67 x8 x7 x 6 x5 x2 x 1 111100111
68 x8 x7 x 6 x5 x4 x 1 111110011
69 x8 x7 x 6 x5 x4 x2 1 111110101
70 x8 x7 x 6 x5 x4 x3 1 111111001