Information on Result #647849
Linear OA(2761, 117, F27, 36) (dual of [117, 56, 37]-code), using construction X applied to AG(F,44P) ⊂ AG(F,62P) based on
- linear OA(2743, 81, F27, 36) (dual of [81, 38, 37]-code), using algebraic-geometric code AG(F,44P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- linear OA(2725, 81, F27, 18) (dual of [81, 56, 19]-code), using algebraic-geometric code AG(F,62P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82 (see above)
- linear OA(2718, 36, F27, 17) (dual of [36, 18, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2718, 38, F27, 17) (dual of [38, 20, 18]-code), using
- extended algebraic-geometric code AGe(F,20P) [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(2718, 38, F27, 17) (dual of [38, 20, 18]-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.