Information on Result #696097
Linear OA(27104, 775, F27, 46) (dual of [775, 671, 47]-code), using construction X applied to Ce(45) ⊂ Ce(30) based on
- linear OA(2788, 729, F27, 46) (dual of [729, 641, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(2758, 729, F27, 31) (dual of [729, 671, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2716, 46, F27, 14) (dual of [46, 30, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2716, 48, F27, 14) (dual of [48, 32, 15]-code), using
- extended algebraic-geometric code AGe(F,33P) [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(2716, 48, F27, 14) (dual of [48, 32, 15]-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.