Information on Result #668193
Linear OA(3277, 1048591, F32, 17) (dual of [1048591, 1048514, 18]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(325, 7, F32, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- linear OA(327, 7, F32, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,32)), using
- linear OA(3265, 1048577, F32, 17) (dual of [1048577, 1048512, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, 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.