Information on Result #1296688
Linear OA(25644, 523, F256, 31) (dual of [523, 479, 32]-code), using construction X applied to AG(F,480P) ⊂ AG(F,486P) based on
- linear OA(25639, 512, F256, 31) (dual of [512, 473, 32]-code), using algebraic-geometric code AG(F,480P) [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(25633, 512, F256, 25) (dual of [512, 479, 26]-code), using algebraic-geometric code AG(F,486P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OA(2565, 11, F256, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), 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(12851, 523, S128, 31) | [i] | Discarding Parts of the Base for OAs | |