Information on Result #796187
Digital (66, 88, 1028)-net over F4, using trace code for nets based on digital (0, 22, 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 (67, 89, 1028)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (68, 90, 1028)-net over F4 | [i] | ||
| 3 | Digital (66, 87, 1028)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (80, 102, 1042)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (81, 103, 1043)-net over F4 | [i] | ||
| 6 | Digital (82, 104, 1045)-net over F4 | [i] | ||
| 7 | Digital (83, 105, 1046)-net over F4 | [i] | ||
| 8 | Digital (84, 106, 1049)-net over F4 | [i] | ||
| 9 | Digital (86, 108, 1051)-net over F4 | [i] | ||
| 10 | Digital (87, 109, 1056)-net over F4 | [i] | ||
| 11 | Digital (88, 110, 1062)-net over F4 | [i] | ||
| 12 | Digital (90, 112, 1076)-net over F4 | [i] | ||
| 13 | Linear OOA(488, 1028, F4, 2, 22) (dual of [(1028, 2), 1968, 23]-NRT-code) | [i] | Extracting Embedded OOA | |
| 14 | Linear OOA(488, 1028, F4, 3, 22) (dual of [(1028, 3), 2996, 23]-NRT-code) | [i] | ||