Information on Result #666859
Linear OA(2757, 748, F27, 21) (dual of [748, 691, 22]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(277, 9, F27, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,27)), using
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- Reed–Solomon code RS(20,27) [i]
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- linear OA(279, 9, F27, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,27)), using
- linear OA(2741, 730, F27, 21) (dual of [730, 689, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [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.