Information on Result #601862

Digital (84, 64)-sequence over F7, using Niederreiter–Xing sequence construction III based on function field F2/F7 with g(F2) = 21, N(F2) ≥ 2, and N(F2) + N2(F2) ≥ 65 from García–Stichtenoth tower as constant field extension

Mode: Constructive and 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 (84, 87, 65)-net over F7 [i]Net from Sequence
2Digital (84, 88, 65)-net over F7 [i]
3Digital (84, 89, 65)-net over F7 [i]
4Digital (84, 90, 65)-net over F7 [i]
5Digital (84, 91, 65)-net over F7 [i]
6Digital (84, 92, 65)-net over F7 [i]
7Digital (84, 93, 65)-net over F7 [i]
8Digital (84, 94, 65)-net over F7 [i]
9Digital (84, 95, 65)-net over F7 [i]
10Digital (84, 96, 65)-net over F7 [i]
11Digital (84, 97, 65)-net over F7 [i]
12Digital (84, 98, 65)-net over F7 [i]
13Digital (84, 99, 65)-net over F7 [i]
14Digital (84, 100, 65)-net over F7 [i]
15Digital (84, 101, 65)-net over F7 [i]
16Digital (84, 102, 65)-net over F7 [i]
17Digital (84, 103, 65)-net over F7 [i]
18Digital (84, 104, 65)-net over F7 [i]
19Digital (84, 105, 65)-net over F7 [i]
20Digital (84, 106, 65)-net over F7 [i]
21Digital (84, 107, 65)-net over F7 [i]
22Digital (84, 108, 65)-net over F7 [i]
23Digital (84, 109, 65)-net over F7 [i]
24Digital (84, 110, 65)-net over F7 [i]
25Digital (84, m, 65)-net over F7 for arbitrarily large m [i]