Information on Result #1201362
Digital (33, 47, 37458)-net over F64, using net defined by OOA based on linear OOA(6447, 37458, F64, 14, 14) (dual of [(37458, 14), 524365, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(6447, 262206, F64, 14) (dual of [262206, 262159, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(6447, 262209, F64, 14) (dual of [262209, 262162, 15]-code), using
- (u, u+v)-construction [i] based on
- linear OA(647, 65, F64, 7) (dual of [65, 58, 8]-code or 65-arc in PG(6,64)), using
- extended Reed–Solomon code RSe(58,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- 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]
- linear OA(647, 65, F64, 7) (dual of [65, 58, 8]-code or 65-arc in PG(6,64)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(6447, 262209, F64, 14) (dual of [262209, 262162, 15]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.