Information on Result #669435
Linear OA(6456, 262160, F64, 15) (dual of [262160, 262104, 16]-code), using generalized (u, u+v)-construction based on
- linear OA(643, 5, F64, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,64) or 5-cap in PG(2,64)), using
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- Reed–Solomon code RS(61,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- linear OA(645, 5, F64, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,64)), using
- linear OA(645, 5, F64, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,64)) (see above)
- linear OA(6443, 262145, F64, 15) (dual of [262145, 262102, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, 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.