Information on Result #666559
Linear OA(27107, 771, F27, 38) (dual of [771, 664, 39]-code), using generalized (u, u+v)-construction based on
- linear OA(279, 14, F27, 9) (dual of [14, 5, 10]-code or 14-arc in PG(8,27)), using
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- Reed–Solomon code RS(18,27) [i]
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- linear OA(2712, 14, F27, 12) (dual of [14, 2, 13]-code or 14-arc in PG(11,27)), using
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- Reed–Solomon code RS(15,27) [i]
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- linear OA(2714, 14, F27, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,27)), using
- linear OA(2772, 729, F27, 38) (dual of [729, 657, 39]-code), using
- an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
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.