Information on Result #1296834
Linear OA(25647, 533, F256, 29) (dual of [533, 486, 30]-code), using construction X applied to AG(F,482P) ⊂ AG(F,493P) based on
- 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, 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(25626, 512, F256, 18) (dual of [512, 486, 19]-code), using algebraic-geometric code AG(F,493P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OA(25610, 21, F256, 10) (dual of [21, 11, 11]-code or 21-arc in PG(9,256)), using
- discarding factors / shortening the dual code based on linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), using
- Reed–Solomon code RS(246,256) [i]
- discarding factors / shortening the dual code based on linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), 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 | Linear OOA(25647, 532, F256, 2, 29) (dual of [(532, 2), 1017, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |