Information on Result #793911
Digital (57, 81, 156)-net over F3, using trace code for nets based on digital (3, 27, 52)-net over F27, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, 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 (58, 82, 156)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (57, 80, 156)-net over F3 | [i] | m-Reduction | |
| 3 | Linear OOA(381, 156, F3, 2, 24) (dual of [(156, 2), 231, 25]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(381, 156, F3, 3, 24) (dual of [(156, 3), 387, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(381, 156, F3, 4, 24) (dual of [(156, 4), 543, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(381, 156, F3, 5, 24) (dual of [(156, 5), 699, 25]-NRT-code) | [i] | ||