Information on Result #3266889
Digital (47, 68, 26217)-net over F64, using 641 times duplication based on digital (46, 67, 26217)-net over F64, using
- net defined by OOA [i] based on linear OOA(6467, 26217, F64, 21, 21) (dual of [(26217, 21), 550490, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(6467, 262171, F64, 21) (dual of [262171, 262104, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(13) [i] based on
- linear OA(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(646, 27, F64, 6) (dual of [27, 21, 7]-code or 27-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
- construction X applied to Ce(20) ⊂ Ce(13) [i] based on
- OOA 10-folding and stacking with additional row [i] based on linear OA(6467, 262171, F64, 21) (dual of [262171, 262104, 22]-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.