Best Known (37, 37+5, s)-Nets in Base 2
(37, 37+5, 1048577)-Net over F2 — Constructive and digital
Digital (37, 42, 1048577)-net over F2, using
(37, 37+5, 2097149)-Net in Base 2 — Upper bound on s
There is no (37, 42, 2097150)-net in base 2, because
- 1 times m-reduction [i] would yield (37, 41, 2097150)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 2 199024 304126 > 241 [i]