Information on Result #696084
Linear OA(2790, 772, F27, 39) (dual of [772, 682, 40]-code), using construction X applied to Ce(38) ⊂ Ce(23) based on
- linear OA(2774, 729, F27, 39) (dual of [729, 655, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2747, 729, F27, 24) (dual of [729, 682, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2716, 43, F27, 14) (dual of [43, 27, 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.