Information on Result #669436
Linear OA(6452, 262159, F64, 14) (dual of [262159, 262107, 15]-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(644, 5, F64, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,64)), using
- dual of repetition code with length 5 [i]
- linear OA(645, 5, F64, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,64)), using
- linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.