Information on Result #793705
Digital (12, 18, 84)-net over F3, using trace code for nets based on digital (0, 6, 28)-net over F27, using
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 0 and N(F) ≥ 28, using
- the rational function field F27(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 (13, 19, 84)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (126, 138, 1398184)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (148, 160, 1594409)-net over F3 | [i] | ||
| 4 | Digital (186, 198, 5592484)-net over F3 | [i] | ||
| 5 | Digital (126, 139, 1398184)-net over F3 | [i] | ||
| 6 | Digital (201, 214, 5592484)-net over F3 | [i] | ||
| 7 | Linear OOA(318, 84, F3, 2, 6) (dual of [(84, 2), 150, 7]-NRT-code) | [i] | Extracting Embedded OOA | |
| 8 | Linear OOA(318, 84, F3, 3, 6) (dual of [(84, 3), 234, 7]-NRT-code) | [i] | ||
| 9 | Linear OOA(318, 84, F3, 4, 6) (dual of [(84, 4), 318, 7]-NRT-code) | [i] | ||
| 10 | Linear OOA(318, 84, F3, 5, 6) (dual of [(84, 5), 402, 7]-NRT-code) | [i] | ||