Information on Result #659629
Linear OA(556, 136, F5, 23) (dual of [136, 80, 24]-code), using trace code based on linear OA(2528, 68, F25, 23) (dual of [68, 40, 24]-code), using
- construction X applied to AG(F,41P) ⊂ AG(F,43P) [i] based on
- linear OA(2527, 65, F25, 23) (dual of [65, 38, 24]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2525, 65, F25, 21) (dual of [65, 40, 22]-code), using algebraic-geometric code AG(F,43P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(557, 137, F5, 23) (dual of [137, 80, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(556, 68, F5, 2, 23) (dual of [(68, 2), 80, 24]-NRT-code) | [i] | OOA Folding | |