Best Known (22, 22+8, s)-Nets in Base 5
(22, 22+8, 390)-Net over F5 — Constructive and digital
Digital (22, 30, 390)-net over F5, using
- net defined by OOA [i] based on linear OOA(530, 390, F5, 8, 8) (dual of [(390, 8), 3090, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(530, 1560, F5, 8) (dual of [1560, 1530, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(530, 1563, F5, 8) (dual of [1563, 1533, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(530, 1560, F5, 8) (dual of [1560, 1530, 9]-code), using
(22, 22+8, 1563)-Net over F5 — Digital
Digital (22, 30, 1563)-net over F5, using
(22, 22+8, 96662)-Net in Base 5 — Upper bound on s
There is no (22, 30, 96663)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 931 353883 471610 428145 > 530 [i]