Information on Result #647614
Linear OA(25101, 290, F25, 59) (dual of [290, 189, 60]-code), using construction X applied to AG(F,227P) ⊂ AG(F,229P) based on
- linear OA(25100, 287, F25, 59) (dual of [287, 187, 60]-code), using algebraic-geometric code AG(F,227P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- linear OA(2598, 287, F25, 57) (dual of [287, 189, 58]-code), using algebraic-geometric code AG(F,229P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288 (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(25102, 299, F25, 59) (dual of [299, 197, 60]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(25101, 145, F25, 2, 59) (dual of [(145, 2), 189, 60]-NRT-code) | [i] | OOA Folding | |