Information on Result #696147
Linear OA(27105, 783, F27, 44) (dual of [783, 678, 45]-code), using construction X applied to Ce(43) ⊂ Ce(25) based on
- linear OA(2784, 729, F27, 44) (dual of [729, 645, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2751, 729, F27, 26) (dual of [729, 678, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2721, 54, F27, 17) (dual of [54, 33, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2721, 64, F27, 17) (dual of [64, 43, 18]-code), using
- extended algebraic-geometric code AGe(F,46P) [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(2721, 64, F27, 17) (dual of [64, 43, 18]-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.