Information on Result #1235725

Digital (18, 50)-sequence over F7, using Niederreiter–Xing sequence construction II/III based on function field F/F7 with g(F) = 18 and N(F) ≥ 51, 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 (18, 37, 51)-net over F7 [i]Net from Sequence
2Digital (18, 38, 51)-net over F7 [i]
3Digital (18, 39, 51)-net over F7 [i]
4Digital (18, 40, 51)-net over F7 [i]
5Digital (18, 41, 51)-net over F7 [i]
6Digital (18, 42, 51)-net over F7 [i]
7Digital (18, 43, 51)-net over F7 [i]
8Digital (18, 44, 51)-net over F7 [i]
9Digital (18, 45, 51)-net over F7 [i]
10Digital (18, 46, 51)-net over F7 [i]
11Digital (18, 47, 51)-net over F7 [i]
12Digital (18, 48, 51)-net over F7 [i]
13Digital (18, 49, 51)-net over F7 [i]
14Digital (18, 50, 51)-net over F7 [i]
15Digital (18, 51, 51)-net over F7 [i]
16Digital (18, 52, 51)-net over F7 [i]
17Digital (18, 53, 51)-net over F7 [i]
18Digital (18, 54, 51)-net over F7 [i]
19Digital (18, 55, 51)-net over F7 [i]
20Digital (18, 56, 51)-net over F7 [i]
21Digital (18, 57, 51)-net over F7 [i]
22Digital (18, 58, 51)-net over F7 [i]
23Digital (18, 59, 51)-net over F7 [i]
24Digital (18, 60, 51)-net over F7 [i]
25Digital (18, 61, 51)-net over F7 [i]
26Digital (18, 62, 51)-net over F7 [i]
27Digital (18, 63, 51)-net over F7 [i]
28Digital (18, 64, 51)-net over F7 [i]
29Digital (18, 65, 51)-net over F7 [i]
30Digital (18, 66, 51)-net over F7 [i]
31Digital (18, 67, 51)-net over F7 [i]
32Digital (18, 68, 51)-net over F7 [i]
33Digital (18, 69, 51)-net over F7 [i]
34Digital (18, 70, 51)-net over F7 [i]
35Digital (18, 71, 51)-net over F7 [i]
36Digital (18, 72, 51)-net over F7 [i]
37Digital (18, 73, 51)-net over F7 [i]
38Digital (18, 74, 51)-net over F7 [i]
39Digital (18, 75, 51)-net over F7 [i]
40Digital (18, 76, 51)-net over F7 [i]
41Digital (18, 77, 51)-net over F7 [i]
42Digital (18, 78, 51)-net over F7 [i]
43Digital (18, 79, 51)-net over F7 [i]
44Digital (18, 80, 51)-net over F7 [i]
45Digital (18, 81, 51)-net over F7 [i]
46Digital (18, 82, 51)-net over F7 [i]
47Digital (18, 83, 51)-net over F7 [i]
48Digital (18, 84, 51)-net over F7 [i]
49Digital (18, 85, 51)-net over F7 [i]
50Digital (18, 86, 51)-net over F7 [i]
51Digital (18, 87, 51)-net over F7 [i]
52Digital (18, 88, 51)-net over F7 [i]
53Digital (18, 89, 51)-net over F7 [i]
54Digital (18, 90, 51)-net over F7 [i]
55Digital (18, 91, 51)-net over F7 [i]
56Digital (18, 92, 51)-net over F7 [i]
57Digital (18, 93, 51)-net over F7 [i]
58Digital (18, 94, 51)-net over F7 [i]
59Digital (18, 95, 51)-net over F7 [i]
60Digital (18, 96, 51)-net over F7 [i]
61Digital (18, 97, 51)-net over F7 [i]
62Digital (18, 98, 51)-net over F7 [i]
63Digital (18, 99, 51)-net over F7 [i]
64Digital (18, 100, 51)-net over F7 [i]
65Digital (18, 101, 51)-net over F7 [i]
66Digital (18, 102, 51)-net over F7 [i]
67Digital (18, 103, 51)-net over F7 [i]
68Digital (18, 104, 51)-net over F7 [i]
69Digital (18, 105, 51)-net over F7 [i]
70Digital (18, 106, 51)-net over F7 [i]
71Digital (18, 107, 51)-net over F7 [i]
72Digital (18, 108, 51)-net over F7 [i]
73Digital (18, 109, 51)-net over F7 [i]
74Digital (18, 110, 51)-net over F7 [i]
75Digital (18, m, 51)-net over F7 for arbitrarily large m [i]