Information on Result #695922
Linear OA(27106, 759, F27, 50) (dual of [759, 653, 51]-code), using construction X applied to Ce(49) ⊂ Ce(39) based on
- linear OA(2796, 729, F27, 50) (dual of [729, 633, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(2776, 729, F27, 40) (dual of [729, 653, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2710, 30, F27, 9) (dual of [30, 20, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2710, 38, F27, 9) (dual of [38, 28, 10]-code), using
- extended algebraic-geometric code AGe(F,28P) [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(2710, 38, F27, 9) (dual of [38, 28, 10]-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.