Information on Result #1296773
Linear OA(25656, 529, F256, 40) (dual of [529, 473, 41]-code), using construction X applied to AG(F,471P) ⊂ AG(F,480P) based on
- linear OA(25648, 512, F256, 40) (dual of [512, 464, 41]-code), using algebraic-geometric code AG(F,471P) [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(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 (see above)
- linear OA(2568, 17, F256, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,256)), using
- discarding factors / shortening the dual code based on linear OA(2568, 256, F256, 8) (dual of [256, 248, 9]-code or 256-arc in PG(7,256)), using
- Reed–Solomon code RS(248,256) [i]
- discarding factors / shortening the dual code based on linear OA(2568, 256, F256, 8) (dual of [256, 248, 9]-code or 256-arc in PG(7,256)), 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(12864, 529, S128, 40) | [i] | Discarding Parts of the Base for OAs | |