Information on Result #695772
Linear OA(2727, 743, F27, 12) (dual of [743, 716, 13]-code), using construction X applied to Ce(11) ⊂ Ce(6) based on
- linear OA(2723, 729, F27, 12) (dual of [729, 706, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2713, 729, F27, 7) (dual of [729, 716, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(274, 14, F27, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), 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.