Information on Result #1002144
Linear OOA(3156, 156, F3, 3, 56) (dual of [(156, 3), 312, 57]-NRT-code), using extracting embedded OOA based on digital (100, 156, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 78, 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
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3156, 156, F3, 3, 55) (dual of [(156, 3), 312, 56]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3159, 157, F3, 3, 56) (dual of [(157, 3), 312, 57]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3162, 158, F3, 3, 56) (dual of [(158, 3), 312, 57]-NRT-code) | [i] | ||
| 4 | Linear OOA(3157, 156, F3, 3, 56) (dual of [(156, 3), 311, 57]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3156, 78, F3, 5, 56) (dual of [(78, 5), 234, 57]-NRT-code) | [i] | OOA Folding | |