Best Known (2, 6, s)-Nets in Base 25
(2, 6, 300)-Net over F25 — Constructive and digital
Digital (2, 6, 300)-net over F25, using
- net defined by OOA [i] based on linear OOA(256, 300, F25, 4, 4) (dual of [(300, 4), 1194, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(256, 600, F25, 4) (dual of [600, 594, 5]-code), using
- 1 times truncation [i] based on linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(256, 600, F25, 4) (dual of [600, 594, 5]-code), using
(2, 6, 920)-Net in Base 25 — Upper bound on s
There is no (2, 6, 921)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 244 602865 > 256 [i]