Information on Result #669411
Linear OA(6477, 4124, F64, 27) (dual of [4124, 4047, 28]-code), using generalized (u, u+v)-construction based on
- linear OA(646, 9, F64, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,64)), using
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- Reed–Solomon code RS(58,64) [i]
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- linear OA(649, 9, F64, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,64)), using
- linear OA(649, 9, F64, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,64)) (see above)
- linear OA(6453, 4097, F64, 27) (dual of [4097, 4044, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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.