Information on Result #647938
Linear OA(2782, 124, F27, 53) (dual of [124, 42, 54]-code), using construction X applied to AG(F,27P) ⊂ AG(F,48P) based on
- linear OA(2760, 81, F27, 53) (dual of [81, 21, 54]-code), using algebraic-geometric code AG(F,27P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- linear OA(2739, 81, F27, 32) (dual of [81, 42, 33]-code), using algebraic-geometric code AG(F,48P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82 (see above)
- linear OA(2722, 43, F27, 20) (dual of [43, 21, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2722, 48, F27, 20) (dual of [48, 26, 21]-code), using
- extended algebraic-geometric code AGe(F,27P) [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(2722, 48, F27, 20) (dual of [48, 26, 21]-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.