Information on Result #667863
Linear OA(3256, 32784, F32, 15) (dual of [32784, 32728, 16]-code), using generalized (u, u+v)-construction based on
- linear OA(323, 5, F32, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,32) or 5-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- linear OA(325, 5, F32, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,32)), using
- linear OA(325, 5, F32, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,32)) (see above)
- linear OA(3243, 32769, F32, 15) (dual of [32769, 32726, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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.