Information on Result #779624
Digital (4, 16, 45)-net over F16, using net from sequence based on digital (4, 44)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (52, 64, 180)-net over F2 | [i] | Trace Code for Nets | |
| 2 | Digital (20, 32, 90)-net over F4 | [i] | ||
| 3 | Digital (20, 44, 90)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (21, 45, 94)-net over F16 | [i] | ||
| 5 | Digital (22, 46, 110)-net over F16 | [i] | ||
| 6 | Digital (40, 64, 559)-net over F16 | [i] | ||
| 7 | Digital (86, 110, 10968)-net over F16 | [i] | ||
| 8 | Digital (103, 127, 87426)-net over F16 | [i] | ||
| 9 | Digital (20, 45, 90)-net over F16 | [i] | ||
| 10 | Digital (21, 46, 94)-net over F16 | [i] | ||
| 11 | Digital (22, 47, 110)-net over F16 | [i] | ||
| 12 | Digital (41, 66, 559)-net over F16 | [i] | ||
| 13 | Digital (89, 114, 10967)-net over F16 | [i] | ||
| 14 | Digital (92, 130, 1073)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 15 | Digital (89, 126, 1073)-net over F16 | [i] | ||
| 16 | Digital (88, 124, 1073)-net over F16 | [i] | ||