Information on Result #666807
Linear OA(2791, 19704, F27, 25) (dual of [19704, 19613, 26]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(278, 10, F27, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,27)), using
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
- Reed–Solomon code RS(19,27) [i]
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
- linear OA(2710, 10, F27, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,27)), using
- linear OA(2773, 19684, F27, 25) (dual of [19684, 19611, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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.