Information on Result #696033
Linear OA(27106, 769, F27, 48) (dual of [769, 663, 49]-code), using construction X applied to Ce(47) ⊂ Ce(34) based on
- linear OA(2792, 729, F27, 48) (dual of [729, 637, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(2766, 729, F27, 35) (dual of [729, 663, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2714, 40, F27, 12) (dual of [40, 26, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2714, 48, F27, 12) (dual of [48, 34, 13]-code), using
- extended algebraic-geometric code AGe(F,35P) [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(2714, 48, F27, 12) (dual of [48, 34, 13]-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.