Information on Result #3266858
Digital (44, 63, 29130)-net over F64, using 642 times duplication based on digital (42, 61, 29130)-net over F64, using
- net defined by OOA [i] based on linear OOA(6461, 29130, F64, 19, 19) (dual of [(29130, 19), 553409, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(6461, 262171, F64, 19) (dual of [262171, 262110, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(11) [i] based on
- linear OA(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(18) ⊂ Ce(11) [i] based on
- OOA 9-folding and stacking with additional row [i] based on linear OA(6461, 262171, F64, 19) (dual of [262171, 262110, 20]-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.