Information on Result #647914
Linear OA(2777, 122, F27, 49) (dual of [122, 45, 50]-code), using construction X applied to AG(F,31P) ⊂ AG(F,51P) based on
- linear OA(2756, 81, F27, 49) (dual of [81, 25, 50]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- linear OA(2736, 81, F27, 29) (dual of [81, 45, 30]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82 (see above)
- linear OA(2721, 41, F27, 19) (dual of [41, 20, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2721, 48, F27, 19) (dual of [48, 27, 20]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2721, 48, F27, 19) (dual of [48, 27, 20]-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.