Information on Result #666651
Linear OA(27106, 763, F27, 40) (dual of [763, 657, 41]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(2713, 17, F27, 13) (dual of [17, 4, 14]-code or 17-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(2717, 17, F27, 17) (dual of [17, 0, 18]-code or 17-arc in PG(16,27)), using
- linear OA(2776, 729, F27, 40) (dual of [729, 653, 41]-code), using
- an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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.