Information on Result #669407
Linear OA(6482, 4124, F64, 29) (dual of [4124, 4042, 30]-code), using generalized (u, u+v)-construction based on
- linear OA(647, 9, F64, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,64)), using
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
- Reed–Solomon code RS(57,64) [i]
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), 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(6457, 4097, F64, 29) (dual of [4097, 4040, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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.