Information on Result #1296551
Linear OA(25666, 517, F256, 56) (dual of [517, 451, 57]-code), using construction X applied to AG(F,455P) ⊂ AG(F,458P) based on
- linear OA(25664, 512, F256, 56) (dual of [512, 448, 57]-code), using algebraic-geometric code AG(F,455P) [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(25661, 512, F256, 53) (dual of [512, 451, 54]-code), using algebraic-geometric code AG(F,458P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OA(2562, 5, F256, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), 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(12876, 517, S128, 56) | [i] | Discarding Parts of the Base for OAs | |