Information on Result #796285
Digital (81, 108, 1028)-net over F4, using trace code for nets based on digital (0, 27, 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 (82, 109, 1028)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (83, 110, 1028)-net over F4 | [i] | ||
| 3 | Digital (81, 107, 1028)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (99, 126, 1045)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (101, 128, 1049)-net over F4 | [i] | ||
| 6 | Digital (103, 130, 1051)-net over F4 | [i] | ||
| 7 | Digital (104, 131, 1055)-net over F4 | [i] | ||
| 8 | Digital (106, 133, 1056)-net over F4 | [i] | ||
| 9 | Digital (107, 134, 1062)-net over F4 | [i] | ||
| 10 | Digital (109, 136, 1076)-net over F4 | [i] | ||
| 11 | Digital (111, 138, 1094)-net over F4 | [i] | ||
| 12 | Digital (113, 140, 1104)-net over F4 | [i] | ||
| 13 | Digital (123, 150, 1268)-net over F4 | [i] | ||
| 14 | Digital (129, 156, 1340)-net over F4 | [i] | ||
| 15 | Digital (131, 158, 1542)-net over F4 | [i] | ||
| 16 | Digital (133, 160, 2056)-net over F4 | [i] | ||
| 17 | (129, 156, 1415)-net in base 4 | [i] | ||
| 18 | Linear OOA(4108, 1028, F4, 2, 27) (dual of [(1028, 2), 1948, 28]-NRT-code) | [i] | Extracting Embedded OOA | |
| 19 | Linear OOA(4108, 1028, F4, 3, 27) (dual of [(1028, 3), 2976, 28]-NRT-code) | [i] | ||