Information on Result #1825973
(21, 36, 258)-net in base 8, using trace code for nets based on (3, 18, 129)-net in base 64, using
- 3 times m-reduction [i] based on (3, 21, 129)-net in base 64, using
- base change [i] based on digital (0, 18, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- base change [i] based on digital (0, 18, 129)-net over F128, using
Mode: Constructive.
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 | (21, 35, 258)-net in base 8 | [i] | m-Reduction | |
| 2 | (80, 110, 612)-net in base 8 | [i] | (u, u+v)-Construction for Nets | |
| 3 | (81, 112, 612)-net in base 8 | [i] | ||
| 4 | OOA(836, 258, S8, 2, 15) | [i] | Extracting Embedded OOA | |
| 5 | OOA(836, 258, S8, 3, 15) | [i] | ||