Information on Result #761586
Digital (1, 7, 9)-net over F4, using net from sequence based on digital (1, 8)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
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 (43, 55, 1037)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (58, 70, 2739)-net over F4 | [i] | ||
| 3 | Digital (67, 79, 10931)-net over F4 | [i] | ||
| 4 | Digital (76, 88, 43699)-net over F4 | [i] | ||
| 5 | Digital (85, 97, 174771)-net over F4 | [i] | ||
| 6 | Digital (94, 106, 699059)-net over F4 | [i] | ||
| 7 | Digital (103, 115, 1398109)-net over F4 | [i] | ||
| 8 | Digital (131, 143, 5592409)-net over F4 | [i] | ||
| 9 | Digital (46, 59, 1037)-net over F4 | [i] | ||
| 10 | Digital (58, 71, 2739)-net over F4 | [i] | ||
| 11 | Digital (67, 80, 10931)-net over F4 | [i] | ||
| 12 | Digital (76, 89, 43699)-net over F4 | [i] | ||
| 13 | Digital (85, 98, 174771)-net over F4 | [i] | ||
| 14 | Digital (94, 107, 699059)-net over F4 | [i] | ||
| 15 | Digital (103, 116, 1398109)-net over F4 | [i] | ||
| 16 | Digital (142, 155, 5592409)-net over F4 | [i] | ||