Information on Result #666657
Linear OA(27102, 759, F27, 39) (dual of [759, 657, 40]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(2713, 15, F27, 13) (dual of [15, 2, 14]-code or 15-arc in PG(12,27)), using
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- Reed–Solomon code RS(14,27) [i]
- discarding factors / shortening the dual code based on linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- linear OA(2715, 15, F27, 15) (dual of [15, 0, 16]-code or 15-arc in PG(14,27)), using
- 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]
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.