Information on Result #1289856
Linear OA(1681, 135, F16, 59) (dual of [135, 54, 60]-code), using construction X applied to AG(F,68P) ⊂ AG(F,72P) based on
- linear OA(1678, 128, F16, 59) (dual of [128, 50, 60]-code), using algebraic-geometric code AG(F,68P) [i] based on function field F/F16 with g(F) = 19 and N(F) ≥ 129, using
- linear OA(1674, 128, F16, 55) (dual of [128, 54, 56]-code), using algebraic-geometric code AG(F,72P) [i] based on function field F/F16 with g(F) = 19 and N(F) ≥ 129 (see above)
- linear OA(163, 7, F16, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,16) or 7-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), 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.