Best Known (45−15, 45, s)-Nets in Base 2
(45−15, 45, 48)-Net over F2 — Constructive and digital
Digital (30, 45, 48)-net over F2, using
- 3 times m-reduction [i] based on digital (30, 48, 48)-net over F2, using
(45−15, 45, 253)-Net in Base 2 — Upper bound on s
There is no (30, 45, 254)-net in base 2, because
- 1 times m-reduction [i] would yield (30, 44, 254)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 17 656708 090248 > 244 [i]