Information on Result #1175220
Linear OOA(2258, 132, F2, 8, 80) (dual of [(132, 8), 798, 81]-NRT-code), using extracting embedded OOA based on digital (178, 258, 132)-net over F2, using
- trace code for nets [i] based on digital (49, 129, 66)-net over F4, using
- net from sequence [i] based on digital (49, 65)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 49 and N(F) ≥ 66, using
- T6 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 49 and N(F) ≥ 66, using
- net from sequence [i] based on digital (49, 65)-sequence over F4, 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(2258, 132, F2, 8, 79) (dual of [(132, 8), 798, 80]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2258, 132, F2, 8, 78) (dual of [(132, 8), 798, 79]-NRT-code) | [i] | ||
| 3 | Linear OOA(2259, 132, F2, 8, 80) (dual of [(132, 8), 797, 81]-NRT-code) | [i] | OOA Duplication | |