Information on Result #696178
Linear OA(2799, 789, F27, 40) (dual of [789, 690, 41]-code), using construction X applied to Ce(39) ⊂ Ce(19) based on
- linear OA(2776, 729, F27, 40) (dual of [729, 653, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2739, 729, F27, 20) (dual of [729, 690, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2723, 60, F27, 19) (dual of [60, 37, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2723, 64, F27, 19) (dual of [64, 41, 20]-code), using
- extended algebraic-geometric code AGe(F,44P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2723, 64, F27, 19) (dual of [64, 41, 20]-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.