Information on Result #695918
Linear OA(27110, 759, F27, 52) (dual of [759, 649, 53]-code), using construction X applied to Ce(51) ⊂ Ce(41) based on
- linear OA(27100, 729, F27, 52) (dual of [729, 629, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2780, 729, F27, 42) (dual of [729, 649, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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.