Information on Result #696168
Linear OA(27102, 786, F27, 42) (dual of [786, 684, 43]-code), using construction X applied to Ce(41) ⊂ Ce(22) based on
- 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(2745, 729, F27, 23) (dual of [729, 684, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2722, 57, F27, 18) (dual of [57, 35, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2722, 64, F27, 18) (dual of [64, 42, 19]-code), using
- extended algebraic-geometric code AGe(F,45P) [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(2722, 64, F27, 18) (dual of [64, 42, 19]-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.