Information on Result #796071
Digital (42, 56, 1028)-net over F4, using trace code for nets based on digital (0, 14, 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 (43, 57, 1028)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (44, 58, 1028)-net over F4 | [i] | ||
| 3 | Digital (42, 55, 1028)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (49, 63, 1033)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (50, 64, 1037)-net over F4 | [i] | ||
| 6 | Digital (51, 65, 1038)-net over F4 | [i] | ||
| 7 | Digital (52, 66, 1043)-net over F4 | [i] | ||
| 8 | Digital (53, 67, 1048)-net over F4 | [i] | ||
| 9 | Digital (56, 70, 1062)-net over F4 | [i] | ||
| 10 | Linear OOA(456, 1028, F4, 2, 14) (dual of [(1028, 2), 2000, 15]-NRT-code) | [i] | Extracting Embedded OOA | |
| 11 | Linear OOA(456, 1028, F4, 3, 14) (dual of [(1028, 3), 3028, 15]-NRT-code) | [i] | ||