Best Known (27, 27+17, s)-Nets in Base 2
(27, 27+17, 44)-Net over F2 — Constructive and digital
(27, 27+17, 145)-Net in Base 2 — Upper bound on s
There is no (27, 44, 146)-net in base 2, because
- 1 times m-reduction [i] would yield (27, 43, 146)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 9 220806 615398 > 243 [i]