Information on Result #796411
Digital (102, 136, 1028)-net over F4, using trace code for nets based on digital (0, 34, 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 (103, 137, 1028)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (104, 138, 1028)-net over F4 | [i] | ||
| 3 | Digital (102, 135, 1028)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (129, 163, 1055)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (132, 166, 1058)-net over F4 | [i] | ||
| 6 | Digital (133, 167, 1060)-net over F4 | [i] | ||
| 7 | Digital (134, 168, 1061)-net over F4 | [i] | ||
| 8 | Digital (136, 170, 1062)-net over F4 | [i] | ||
| 9 | Digital (137, 171, 1063)-net over F4 | [i] | ||
| 10 | Digital (138, 172, 1076)-net over F4 | [i] | ||
| 11 | Digital (140, 174, 1094)-net over F4 | [i] | ||
| 12 | Digital (142, 176, 1104)-net over F4 | [i] | ||
| 13 | Digital (144, 178, 1118)-net over F4 | [i] | ||
| 14 | Digital (146, 180, 1126)-net over F4 | [i] | ||
| 15 | Digital (148, 182, 1158)-net over F4 | [i] | ||
| 16 | Linear OOA(4136, 1028, F4, 2, 34) (dual of [(1028, 2), 1920, 35]-NRT-code) | [i] | Extracting Embedded OOA | |
| 17 | Linear OOA(4136, 1028, F4, 3, 34) (dual of [(1028, 3), 2948, 35]-NRT-code) | [i] | ||