Information on Result #647972
Linear OA(2778, 126, F27, 48) (dual of [126, 48, 49]-code), using construction X applied to AG(F,32P) ⊂ AG(F,54P) based on
- linear OA(2755, 81, F27, 48) (dual of [81, 26, 49]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- linear OA(2733, 81, F27, 26) (dual of [81, 48, 27]-code), using algebraic-geometric code AG(F,54P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82 (see above)
- linear OA(2723, 45, F27, 21) (dual of [45, 22, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2723, 48, F27, 21) (dual of [48, 25, 22]-code), using
- extended algebraic-geometric code AGe(F,26P) [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(2723, 48, F27, 21) (dual of [48, 25, 22]-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.