Information on Result #666916
Linear OA(2777, 531456, F27, 17) (dual of [531456, 531379, 18]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(275, 7, F27, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,27)), using
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- Reed–Solomon code RS(22,27) [i]
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- linear OA(277, 7, F27, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,27)), using
- linear OA(2765, 531442, F27, 17) (dual of [531442, 531377, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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.