Information on Result #3279410
(86, 110, 21846)-net in base 16, using 162 times duplication based on (84, 108, 21846)-net in base 16, using
- base change [i] based on digital (48, 72, 21846)-net over F64, using
- net defined by OOA [i] based on linear OOA(6472, 21846, F64, 24, 24) (dual of [(21846, 24), 524232, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(6472, 262152, F64, 24) (dual of [262152, 262080, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(6472, 262155, F64, 24) (dual of [262155, 262083, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(20) [i] based on
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 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(642, 11, F64, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- construction X applied to Ce(23) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(6472, 262155, F64, 24) (dual of [262155, 262083, 25]-code), using
- OA 12-folding and stacking [i] based on linear OA(6472, 262152, F64, 24) (dual of [262152, 262080, 25]-code), using
- net defined by OOA [i] based on linear OOA(6472, 21846, F64, 24, 24) (dual of [(21846, 24), 524232, 25]-NRT-code), using
Mode: Constructive.
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.