Information on Result #793717
Digital (18, 27, 84)-net over F3, using trace code for nets based on digital (0, 9, 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 (19, 28, 84)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (18, 26, 84)-net over F3 | [i] | m-Reduction | |
| 3 | Digital (189, 207, 932151)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (189, 208, 932150)-net over F3 | [i] | ||
| 5 | Linear OOA(327, 84, F3, 2, 9) (dual of [(84, 2), 141, 10]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(327, 84, F3, 3, 9) (dual of [(84, 3), 225, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(327, 84, F3, 4, 9) (dual of [(84, 4), 309, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(327, 84, F3, 5, 9) (dual of [(84, 5), 393, 10]-NRT-code) | [i] | ||