Information on Result #696117
Linear OA(27106, 779, F27, 46) (dual of [779, 673, 47]-code), using construction X applied to Ce(45) ⊂ Ce(29) 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(2756, 729, F27, 30) (dual of [729, 673, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2718, 50, F27, 15) (dual of [50, 32, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2718, 52, F27, 15) (dual of [52, 34, 16]-code), using
- extended algebraic-geometric code AGe(F,36P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2718, 52, F27, 15) (dual of [52, 34, 16]-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.