Information on Result #796121
Digital (54, 72, 1028)-net over F4, using trace code for nets based on digital (0, 18, 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 (55, 73, 1028)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (56, 74, 1028)-net over F4 | [i] | ||
| 3 | Digital (54, 71, 1028)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (64, 82, 1037)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (65, 83, 1038)-net over F4 | [i] | ||
| 6 | Digital (66, 84, 1042)-net over F4 | [i] | ||
| 7 | Digital (67, 85, 1043)-net over F4 | [i] | ||
| 8 | Digital (68, 86, 1045)-net over F4 | [i] | ||
| 9 | Digital (69, 87, 1046)-net over F4 | [i] | ||
| 10 | Digital (70, 88, 1049)-net over F4 | [i] | ||
| 11 | Digital (71, 89, 1052)-net over F4 | [i] | ||
| 12 | Digital (72, 90, 1062)-net over F4 | [i] | ||
| 13 | Linear OOA(472, 1028, F4, 2, 18) (dual of [(1028, 2), 1984, 19]-NRT-code) | [i] | Extracting Embedded OOA | |
| 14 | Linear OOA(472, 1028, F4, 3, 18) (dual of [(1028, 3), 3012, 19]-NRT-code) | [i] | ||