Information on Result #666836
Linear OA(27105, 531460, F27, 23) (dual of [531460, 531355, 24]-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(2789, 531442, F27, 23) (dual of [531442, 531353, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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.