Information on Result #1296704
Linear OA(25663, 525, F256, 49) (dual of [525, 462, 50]-code), using construction X applied to AG(F,462P) ⊂ AG(F,469P) based on
- linear OA(25657, 512, F256, 49) (dual of [512, 455, 50]-code), using algebraic-geometric code AG(F,462P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- linear OA(25650, 512, F256, 42) (dual of [512, 462, 43]-code), using algebraic-geometric code AG(F,469P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OA(2566, 13, F256, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,256)), using
- discarding factors / shortening the dual code based on linear OA(2566, 256, F256, 6) (dual of [256, 250, 7]-code or 256-arc in PG(5,256)), using
- Reed–Solomon code RS(250,256) [i]
- discarding factors / shortening the dual code based on linear OA(2566, 256, F256, 6) (dual of [256, 250, 7]-code or 256-arc in PG(5,256)), 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 | OA(12872, 525, S128, 49) | [i] | Discarding Parts of the Base for OAs | |