Information on Result #1289844
Linear OA(1693, 135, F16, 71) (dual of [135, 42, 72]-code), using construction X applied to AG(F,56P) ⊂ AG(F,60P) based on
- linear OA(1690, 128, F16, 71) (dual of [128, 38, 72]-code), using algebraic-geometric code AG(F,56P) [i] based on function field F/F16 with g(F) = 19 and N(F) ≥ 129, using
- linear OA(1686, 128, F16, 67) (dual of [128, 42, 68]-code), using algebraic-geometric code AG(F,60P) [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.