Information on Result #648025
Linear OA(27110, 140, F27, 72) (dual of [140, 30, 73]-code), using construction X applied to AG(F,8P) ⊂ AG(F,36P) based on
- linear OA(2779, 81, F27, 72) (dual of [81, 2, 73]-code), using algebraic-geometric code AG(F,8P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- linear OA(2751, 81, F27, 44) (dual of [81, 30, 45]-code), using algebraic-geometric code AG(F,36P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82 (see above)
- linear OA(2731, 59, F27, 27) (dual of [59, 28, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2731, 64, F27, 27) (dual of [64, 33, 28]-code), using
- extended algebraic-geometric code AGe(F,36P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2731, 64, F27, 27) (dual of [64, 33, 28]-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.