Information on Result #796377
Digital (96, 128, 1028)-net over F4, using trace code for nets based on digital (0, 32, 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 (97, 129, 1028)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (98, 130, 1028)-net over F4 | [i] | ||
| 3 | Digital (96, 127, 1028)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (119, 151, 1049)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (122, 154, 1055)-net over F4 | [i] | ||
| 6 | Digital (125, 157, 1058)-net over F4 | [i] | ||
| 7 | Digital (126, 158, 1060)-net over F4 | [i] | ||
| 8 | Digital (127, 159, 1061)-net over F4 | [i] | ||
| 9 | Digital (128, 160, 1062)-net over F4 | [i] | ||
| 10 | Digital (130, 162, 1076)-net over F4 | [i] | ||
| 11 | Digital (132, 164, 1094)-net over F4 | [i] | ||
| 12 | Digital (134, 166, 1104)-net over F4 | [i] | ||
| 13 | Digital (136, 168, 1118)-net over F4 | [i] | ||
| 14 | Digital (138, 170, 1126)-net over F4 | [i] | ||
| 15 | Digital (140, 172, 1158)-net over F4 | [i] | ||
| 16 | Digital (144, 176, 1223)-net over F4 | [i] | ||
| 17 | Digital (147, 179, 1268)-net over F4 | [i] | ||
| 18 | Digital (158, 190, 1542)-net over F4 | [i] | ||
| 19 | Linear OOA(4128, 1028, F4, 2, 32) (dual of [(1028, 2), 1928, 33]-NRT-code) | [i] | Extracting Embedded OOA | |
| 20 | Linear OOA(4128, 1028, F4, 3, 32) (dual of [(1028, 3), 2956, 33]-NRT-code) | [i] | ||