Information on Result #1296859
Linear OA(25663, 537, F256, 43) (dual of [537, 474, 44]-code), using construction X applied to AG(F,468P) ⊂ AG(F,481P) based on
- linear OA(25651, 512, F256, 43) (dual of [512, 461, 44]-code), using algebraic-geometric code AG(F,468P) [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(25638, 512, F256, 30) (dual of [512, 474, 31]-code), using algebraic-geometric code AG(F,481P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OA(25612, 25, F256, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,256)), using
- discarding factors / shortening the dual code based on linear OA(25612, 256, F256, 12) (dual of [256, 244, 13]-code or 256-arc in PG(11,256)), using
- Reed–Solomon code RS(244,256) [i]
- discarding factors / shortening the dual code based on linear OA(25612, 256, F256, 12) (dual of [256, 244, 13]-code or 256-arc in PG(11,256)), 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
None.