Information on Result #645716
Linear OA(2558, 68, F25, 53) (dual of [68, 10, 54]-code), using construction X applied to AG(F,11P) ⊂ AG(F,13P) based on
- linear OA(2557, 65, F25, 53) (dual of [65, 8, 54]-code), using algebraic-geometric code AG(F,11P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2555, 65, F25, 51) (dual of [65, 10, 52]-code), using algebraic-geometric code AG(F,13P) [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 OOA(2558, 34, F25, 2, 53) (dual of [(34, 2), 10, 54]-NRT-code) | [i] | OOA Folding | |