Information on Result #1296912
Linear OA(25663, 1027, F256, 38) (dual of [1027, 964, 39]-code), using construction X applied to AG(F,985P) ⊂ AG(F,987P) based on
- linear OA(25662, 1024, F256, 38) (dual of [1024, 962, 39]-code), using algebraic-geometric code AG(F,985P) [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025, using
- K1,2 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- linear OA(25660, 1024, F256, 36) (dual of [1024, 964, 37]-code), using algebraic-geometric code AG(F,987P) [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 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(25665, 1047, F256, 38) (dual of [1047, 982, 39]-code) | [i] | Varšamov–Edel Lengthening | |