Information on Result #1235912

Digital (2, 171)-sequence over F128, using Niederreiter–Xing sequence construction II/III based on function field F/F128 with g(F) = 2 and N(F) ≥ 172, using

Mode: Linear.

Optimality

Show details for fixed k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Digital (2, 8, 172)-net over F128 [i]Net from Sequence
2Digital (2, 9, 172)-net over F128 [i]
3Digital (2, 10, 172)-net over F128 [i]
4Digital (2, 11, 172)-net over F128 [i]
5Digital (2, 12, 172)-net over F128 [i]
6Digital (2, 13, 172)-net over F128 [i]
7Digital (2, 14, 172)-net over F128 [i]
8Digital (2, 15, 172)-net over F128 [i]
9Digital (2, 16, 172)-net over F128 [i]
10Digital (2, 17, 172)-net over F128 [i]
11Digital (2, 18, 172)-net over F128 [i]
12Digital (2, 19, 172)-net over F128 [i]
13Digital (2, 20, 172)-net over F128 [i]
14Digital (2, 21, 172)-net over F128 [i]
15Digital (2, 22, 172)-net over F128 [i]
16Digital (2, 23, 172)-net over F128 [i]
17Digital (2, 24, 172)-net over F128 [i]
18Digital (2, 25, 172)-net over F128 [i]
19Digital (2, 26, 172)-net over F128 [i]
20Digital (2, 27, 172)-net over F128 [i]
21Digital (2, 28, 172)-net over F128 [i]
22Digital (2, 29, 172)-net over F128 [i]
23Digital (2, 30, 172)-net over F128 [i]
24Digital (2, 31, 172)-net over F128 [i]
25Digital (2, 32, 172)-net over F128 [i]
26Digital (2, 33, 172)-net over F128 [i]
27Digital (2, 34, 172)-net over F128 [i]
28Digital (2, 35, 172)-net over F128 [i]
29Digital (2, 36, 172)-net over F128 [i]
30Digital (2, 37, 172)-net over F128 [i]
31Digital (2, 38, 172)-net over F128 [i]
32Digital (2, 39, 172)-net over F128 [i]
33Digital (2, 40, 172)-net over F128 [i]
34Digital (2, 41, 172)-net over F128 [i]
35Digital (2, 42, 172)-net over F128 [i]
36Digital (2, 43, 172)-net over F128 [i]
37Digital (2, 44, 172)-net over F128 [i]
38Digital (2, 45, 172)-net over F128 [i]
39Digital (2, 46, 172)-net over F128 [i]
40Digital (2, 47, 172)-net over F128 [i]
41Digital (2, 48, 172)-net over F128 [i]
42Digital (2, 49, 172)-net over F128 [i]
43Digital (2, 50, 172)-net over F128 [i]
44Digital (2, 51, 172)-net over F128 [i]
45Digital (2, 52, 172)-net over F128 [i]
46Digital (2, 53, 172)-net over F128 [i]
47Digital (2, 54, 172)-net over F128 [i]
48Digital (2, 55, 172)-net over F128 [i]
49Digital (2, 56, 172)-net over F128 [i]
50Digital (2, 57, 172)-net over F128 [i]
51Digital (2, 58, 172)-net over F128 [i]
52Digital (2, 59, 172)-net over F128 [i]
53Digital (2, 60, 172)-net over F128 [i]
54Digital (2, 61, 172)-net over F128 [i]
55Digital (2, 62, 172)-net over F128 [i]
56Digital (2, 63, 172)-net over F128 [i]
57Digital (2, 64, 172)-net over F128 [i]
58Digital (2, 65, 172)-net over F128 [i]
59Digital (2, 66, 172)-net over F128 [i]
60Digital (2, 67, 172)-net over F128 [i]
61Digital (2, 68, 172)-net over F128 [i]
62Digital (2, 69, 172)-net over F128 [i]
63Digital (2, 70, 172)-net over F128 [i]
64Digital (2, 71, 172)-net over F128 [i]
65Digital (2, 72, 172)-net over F128 [i]
66Digital (2, 73, 172)-net over F128 [i]
67Digital (2, 74, 172)-net over F128 [i]
68Digital (2, 75, 172)-net over F128 [i]
69Digital (2, 76, 172)-net over F128 [i]
70Digital (2, 77, 172)-net over F128 [i]
71Digital (2, 78, 172)-net over F128 [i]
72Digital (2, m, 172)-net over F128 for arbitrarily large m [i]