Information on Result #696091
Linear OA(2776, 772, F27, 32) (dual of [772, 696, 33]-code), using construction X applied to Ce(31) ⊂ Ce(16) based on
- linear OA(2760, 729, F27, 32) (dual of [729, 669, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2733, 729, F27, 17) (dual of [729, 696, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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.