Information on Result #796444
Digital (108, 144, 1028)-net over F4, using trace code for nets based on digital (0, 36, 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 (109, 145, 1028)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (110, 146, 1028)-net over F4 | [i] | ||
| 3 | Digital (108, 143, 1028)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (139, 175, 1058)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (141, 177, 1061)-net over F4 | [i] | ||
| 6 | Digital (146, 182, 1076)-net over F4 | [i] | ||
| 7 | Digital (148, 184, 1094)-net over F4 | [i] | ||
| 8 | Digital (150, 186, 1104)-net over F4 | [i] | ||
| 9 | Digital (152, 188, 1118)-net over F4 | [i] | ||
| 10 | Digital (154, 190, 1126)-net over F4 | [i] | ||
| 11 | Digital (178, 214, 1542)-net over F4 | [i] | ||
| 12 | Linear OOA(4144, 1028, F4, 2, 36) (dual of [(1028, 2), 1912, 37]-NRT-code) | [i] | Extracting Embedded OOA | |
| 13 | Linear OOA(4144, 1028, F4, 3, 36) (dual of [(1028, 3), 2940, 37]-NRT-code) | [i] | ||