Information on Result #666571
Linear OA(2798, 768, F27, 35) (dual of [768, 670, 36]-code), using generalized (u, u+v)-construction based on
- linear OA(278, 13, F27, 8) (dual of [13, 5, 9]-code or 13-arc in PG(7,27)), using
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
- Reed–Solomon code RS(19,27) [i]
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
- linear OA(2711, 13, F27, 11) (dual of [13, 2, 12]-code or 13-arc in PG(10,27)), using
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
- Reed–Solomon code RS(16,27) [i]
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
- linear OA(2713, 13, F27, 13) (dual of [13, 0, 14]-code or 13-arc in PG(12,27)), using
- linear OA(2766, 729, F27, 35) (dual of [729, 663, 36]-code), using
- an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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.