Information on Result #666644
Linear OA(27107, 761, F27, 41) (dual of [761, 654, 42]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(2713, 16, F27, 13) (dual of [16, 3, 14]-code or 16-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(2716, 16, F27, 16) (dual of [16, 0, 17]-code or 16-arc in PG(15,27)), using
- 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]
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.