Information on Result #796037
Digital (30, 40, 1028)-net over F4, using trace code for nets based on digital (0, 10, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [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 (31, 41, 1028)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (32, 42, 1028)-net over F4 | [i] | ||
| 3 | Digital (30, 39, 1028)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (35, 45, 1033)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (36, 46, 1037)-net over F4 | [i] | ||
| 6 | Digital (37, 47, 1044)-net over F4 | [i] | ||
| 7 | Digital (38, 48, 1054)-net over F4 | [i] | ||
| 8 | Digital (200, 221, 839888)-net over F4 | [i] | ||
| 9 | Linear OOA(440, 1028, F4, 2, 10) (dual of [(1028, 2), 2016, 11]-NRT-code) | [i] | Extracting Embedded OOA | |
| 10 | Linear OOA(440, 1028, F4, 3, 10) (dual of [(1028, 3), 3044, 11]-NRT-code) | [i] | ||