Information on Result #793900
Digital (54, 78, 144)-net over F3, using trace code for nets based on digital (2, 26, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, 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 (55, 79, 144)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (54, 77, 144)-net over F3 | [i] | m-Reduction | |
| 3 | Linear OOA(378, 144, F3, 2, 24) (dual of [(144, 2), 210, 25]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(378, 144, F3, 3, 24) (dual of [(144, 3), 354, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(378, 144, F3, 4, 24) (dual of [(144, 4), 498, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(378, 144, F3, 5, 24) (dual of [(144, 5), 642, 25]-NRT-code) | [i] | ||