Information on Result #669393
Linear OA(6488, 262169, F64, 23) (dual of [262169, 262081, 24]-code), using generalized (u, u+v)-construction based on
- linear OA(644, 6, F64, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- linear OA(645, 6, F64, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,64)), using
- dual of repetition code with length 6 [i]
- linear OA(646, 6, F64, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,64)), using
- linear OA(646, 6, F64, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,64)) (see above)
- linear OA(6467, 262145, F64, 23) (dual of [262145, 262078, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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.