Information on Result #695655
Linear OA(2786, 737, F27, 44) (dual of [737, 651, 45]-code), using construction X applied to Ce(43) ⊂ Ce(40) based on
- linear OA(2784, 729, F27, 44) (dual of [729, 645, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2778, 729, F27, 41) (dual of [729, 651, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(272, 8, F27, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), 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.