Information on Result #601860

Digital (82, 62)-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) ≥ 63 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 (82, 85, 63)-net over F7 [i]Net from Sequence
2Digital (82, 86, 63)-net over F7 [i]
3Digital (82, 87, 63)-net over F7 [i]
4Digital (82, 88, 63)-net over F7 [i]
5Digital (82, 89, 63)-net over F7 [i]
6Digital (82, 90, 63)-net over F7 [i]
7Digital (82, 91, 63)-net over F7 [i]
8Digital (82, 92, 63)-net over F7 [i]
9Digital (82, 93, 63)-net over F7 [i]
10Digital (82, 94, 63)-net over F7 [i]
11Digital (82, 95, 63)-net over F7 [i]
12Digital (82, 96, 63)-net over F7 [i]
13Digital (82, 97, 63)-net over F7 [i]
14Digital (82, 98, 63)-net over F7 [i]
15Digital (82, 99, 63)-net over F7 [i]
16Digital (82, 100, 63)-net over F7 [i]
17Digital (82, 101, 63)-net over F7 [i]
18Digital (82, 102, 63)-net over F7 [i]
19Digital (82, 103, 63)-net over F7 [i]
20Digital (82, 104, 63)-net over F7 [i]
21Digital (82, 105, 63)-net over F7 [i]
22Digital (82, 106, 63)-net over F7 [i]
23Digital (82, 107, 63)-net over F7 [i]
24Digital (82, 108, 63)-net over F7 [i]
25Digital (82, 109, 63)-net over F7 [i]
26Digital (82, 110, 63)-net over F7 [i]
27Digital (82, m, 63)-net over F7 for arbitrarily large m [i]