Best Known (51−17, 51, s)-Nets in Base 2
(51−17, 51, 51)-Net over F2 — Constructive and digital
Digital (34, 51, 51)-net over F2, using
- t-expansion [i] based on digital (33, 51, 51)-net over F2, using
(51−17, 51, 52)-Net over F2 — Digital
Digital (34, 51, 52)-net over F2, using
(51−17, 51, 275)-Net in Base 2 — Upper bound on s
There is no (34, 51, 276)-net in base 2, because
- 1 times m-reduction [i] would yield (34, 50, 276)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 1151 232847 654046 > 250 [i]