Information on Result #648005
Linear OA(27101, 131, F27, 68) (dual of [131, 30, 69]-code), using construction X applied to AG(F,12P) ⊂ AG(F,36P) based on
- linear OA(2775, 81, F27, 68) (dual of [81, 6, 69]-code), using algebraic-geometric code AG(F,12P) [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(2726, 50, F27, 23) (dual of [50, 24, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2726, 52, F27, 23) (dual of [52, 26, 24]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2726, 52, F27, 23) (dual of [52, 26, 24]-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.