Best Known (52−17, 52, s)-Nets in Base 2
(52−17, 52, 51)-Net over F2 — Constructive and digital
Digital (35, 52, 51)-net over F2, using
- 21 times duplication [i] based on digital (34, 51, 51)-net over F2, using
- t-expansion [i] based on digital (33, 51, 51)-net over F2, using
(52−17, 52, 55)-Net over F2 — Digital
Digital (35, 52, 55)-net over F2, using
(52−17, 52, 301)-Net in Base 2 — Upper bound on s
There is no (35, 52, 302)-net in base 2, because
- 1 times m-reduction [i] would yield (35, 51, 302)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 2303 257285 293355 > 251 [i]