Information on Result #648309
Linear OA(2784, 112, F27, 63) (dual of [112, 28, 64]-code), using construction X applied to AG(F,23P) ⊂ AG(F,36P) based on
- linear OA(2772, 87, F27, 63) (dual of [87, 15, 64]-code), using algebraic-geometric code AG(F,23P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- linear OA(2759, 87, F27, 50) (dual of [87, 28, 51]-code), using algebraic-geometric code AG(F,36P) [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.