Information on Result #696054
Linear OA(2785, 769, F27, 37) (dual of [769, 684, 38]-code), using construction X applied to Ce(36) ⊂ Ce(22) based on
- linear OA(2770, 729, F27, 37) (dual of [729, 659, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(2715, 40, F27, 13) (dual of [40, 25, 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.