Information on Result #666826
Linear OA(2762, 750, F27, 23) (dual of [750, 688, 24]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(277, 10, F27, 7) (dual of [10, 3, 8]-code or 10-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(2710, 10, F27, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,27)), using
- linear OA(2745, 730, F27, 23) (dual of [730, 685, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, 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.