Information on Result #666871
Linear OA(2753, 745, F27, 20) (dual of [745, 692, 21]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(276, 8, F27, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,27)), using
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- Reed–Solomon code RS(21,27) [i]
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- linear OA(278, 8, F27, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,27)), using
- linear OA(2739, 729, F27, 20) (dual of [729, 690, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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.