Information on Result #666770
Linear OA(2775, 755, F27, 28) (dual of [755, 680, 29]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(279, 13, F27, 9) (dual of [13, 4, 10]-code or 13-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(2713, 13, F27, 13) (dual of [13, 0, 14]-code or 13-arc in PG(12,27)), using
- linear OA(2753, 729, F27, 28) (dual of [729, 676, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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.