Best Known (31, 31+15, s)-Nets in Base 2
(31, 31+15, 49)-Net over F2 — Constructive and digital
Digital (31, 46, 49)-net over F2, using
- 3 times m-reduction [i] based on digital (31, 49, 49)-net over F2, using
(31, 31+15, 51)-Net over F2 — Digital
Digital (31, 46, 51)-net over F2, using
(31, 31+15, 281)-Net in Base 2 — Upper bound on s
There is no (31, 46, 282)-net in base 2, because
- 1 times m-reduction [i] would yield (31, 45, 282)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 35 785283 458204 > 245 [i]