Information on Result #1291098
Linear OA(2553, 173, F25, 32) (dual of [173, 120, 33]-code), using construction X applied to AG(F,137P) ⊂ AG(F,139P) based on
- linear OA(2552, 170, F25, 32) (dual of [170, 118, 33]-code), using algebraic-geometric code AG(F,137P) [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171, using
- linear OA(2550, 170, F25, 30) (dual of [170, 120, 31]-code), using algebraic-geometric code AG(F,139P) [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171 (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: 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(2555, 179, F25, 32) (dual of [179, 124, 33]-code) | [i] | Varšamov–Edel Lengthening | |