Information on Result #761588
Digital (1, 9, 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 (57, 73, 1037)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (77, 93, 2057)-net over F4 | [i] | ||
| 3 | Digital (89, 105, 8201)-net over F4 | [i] | ||
| 4 | Digital (101, 117, 32777)-net over F4 | [i] | ||
| 5 | Digital (113, 129, 131081)-net over F4 | [i] | ||
| 6 | Digital (125, 141, 524297)-net over F4 | [i] | ||
| 7 | Digital (137, 153, 1048584)-net over F4 | [i] | ||
| 8 | Digital (177, 193, 4194309)-net over F4 | [i] | ||
| 9 | Digital (60, 77, 1037)-net over F4 | [i] | ||
| 10 | Digital (77, 94, 2057)-net over F4 | [i] | ||
| 11 | Digital (89, 106, 8201)-net over F4 | [i] | ||
| 12 | Digital (101, 118, 32777)-net over F4 | [i] | ||
| 13 | Digital (113, 130, 131081)-net over F4 | [i] | ||
| 14 | Digital (125, 142, 524297)-net over F4 | [i] | ||
| 15 | Digital (137, 154, 1048584)-net over F4 | [i] | ||
| 16 | Digital (174, 191, 2097159)-net over F4 | [i] | ||
| 17 | Digital (188, 205, 4194309)-net over F4 | [i] | ||