Information on Result #1846209
OA(12864, 531, S128, 39), using discarding parts of the base based on linear OA(25656, 531, F256, 39) (dual of [531, 475, 40]-code), using
- construction X applied to AG(F,472P) ⊂ AG(F,482P) [i] based on
- linear OA(25647, 512, F256, 39) (dual of [512, 465, 40]-code), using algebraic-geometric code AG(F,472P) [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(25637, 512, F256, 29) (dual of [512, 475, 30]-code), using algebraic-geometric code AG(F,482P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OA(2569, 19, F256, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,256)), using
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), using
- Reed–Solomon code RS(247,256) [i]
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), using
- linear OA(25647, 512, F256, 39) (dual of [512, 465, 40]-code), using algebraic-geometric code AG(F,472P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
Mode: Arbitrary.
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(12865, 532, S128, 39) | [i] | Code Embedding in Larger Space | |