Information on Result #792658
Digital (10, 18, 32)-net over F3, using trace code for nets based on digital (1, 9, 16)-net over F9, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
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 (153, 169, 1048607)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (200, 216, 1195776)-net over F3 | [i] | ||
| 3 | Digital (167, 184, 1048607)-net over F3 | [i] | ||
| 4 | Digital (213, 230, 1195775)-net over F3 | [i] | ||
| 5 | Linear OOA(318, 32, F3, 2, 8) (dual of [(32, 2), 46, 9]-NRT-code) | [i] | Extracting Embedded OOA | |
| 6 | Linear OOA(318, 32, F3, 3, 8) (dual of [(32, 3), 78, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(318, 32, F3, 4, 8) (dual of [(32, 4), 110, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(318, 32, F3, 5, 8) (dual of [(32, 5), 142, 9]-NRT-code) | [i] | ||