Information on Result #793133
Digital (83, 122, 156)-net over F3, using trace code for nets based on digital (22, 61, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, 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 (83, 121, 156)-net over F3 | [i] | m-Reduction | |
| 2 | Digital (83, 120, 156)-net over F3 | [i] | ||
| 3 | Digital (83, 119, 156)-net over F3 | [i] | ||
| 4 | Linear OOA(3122, 156, F3, 2, 39) (dual of [(156, 2), 190, 40]-NRT-code) | [i] | Extracting Embedded OOA | |
| 5 | Linear OOA(3122, 156, F3, 3, 39) (dual of [(156, 3), 346, 40]-NRT-code) | [i] | ||
| 6 | Linear OOA(3122, 156, F3, 4, 39) (dual of [(156, 4), 502, 40]-NRT-code) | [i] | ||
| 7 | Linear OOA(3122, 156, F3, 5, 39) (dual of [(156, 5), 658, 40]-NRT-code) | [i] | ||