Information on Result #696080
Linear OA(2797, 772, F27, 43) (dual of [772, 675, 44]-code), using construction X applied to Ce(42) ⊂ Ce(28) based on
- linear OA(2782, 729, F27, 43) (dual of [729, 647, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2754, 729, F27, 29) (dual of [729, 675, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2715, 43, F27, 13) (dual of [43, 28, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2715, 48, F27, 13) (dual of [48, 33, 14]-code), using
- extended algebraic-geometric code AGe(F,34P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2715, 48, F27, 13) (dual of [48, 33, 14]-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.