Information on Result #647077
Linear OA(2583, 202, F25, 57) (dual of [202, 119, 58]-code), using construction X applied to AG(F,141P) ⊂ AG(F,143P) based on
- linear OA(2582, 199, F25, 57) (dual of [199, 117, 58]-code), using algebraic-geometric code AG(F,141P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2580, 199, F25, 55) (dual of [199, 119, 56]-code), using algebraic-geometric code AG(F,143P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (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(2583, 101, F25, 2, 57) (dual of [(101, 2), 119, 58]-NRT-code) | [i] | OOA Folding | |