Information on Result #649495
Linear OA(2781, 123, F27, 56) (dual of [123, 42, 57]-code), using construction X applied to AG(F,36P) ⊂ AG(F,51P) based on
- linear OA(2766, 93, F27, 56) (dual of [93, 27, 57]-code), using algebraic-geometric code AG(F,36P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2751, 93, F27, 41) (dual of [93, 42, 42]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(2715, 30, F27, 14) (dual of [30, 15, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2715, 38, F27, 14) (dual of [38, 23, 15]-code), using
- extended algebraic-geometric code AGe(F,23P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2715, 38, F27, 14) (dual of [38, 23, 15]-code), 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.