Information on Result #696173
Linear OA(27109, 789, F27, 45) (dual of [789, 680, 46]-code), using construction X applied to Ce(44) ⊂ Ce(24) based on
- linear OA(2786, 729, F27, 45) (dual of [729, 643, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(2749, 729, F27, 25) (dual of [729, 680, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2723, 60, F27, 19) (dual of [60, 37, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2723, 64, F27, 19) (dual of [64, 41, 20]-code), using
- extended algebraic-geometric code AGe(F,44P) [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(2723, 64, F27, 19) (dual of [64, 41, 20]-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.