Information on Result #648323
Linear OA(2770, 112, F27, 49) (dual of [112, 42, 50]-code), using construction X applied to AG(F,37P) ⊂ AG(F,50P) based on
- linear OA(2758, 87, F27, 49) (dual of [87, 29, 50]-code), using algebraic-geometric code AG(F,37P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- linear OA(2745, 87, F27, 36) (dual of [87, 42, 37]-code), using algebraic-geometric code AG(F,50P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88 (see above)
- linear OA(2712, 25, F27, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,27)), using
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- Reed–Solomon code RS(15,27) [i]
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
Mode: Constructive and 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.