Best Known (18, 18+17, s)-Nets in Base 3
(18, 18+17, 35)-Net over F3 — Constructive and digital
(18, 18+17, 193)-Net in Base 3 — Upper bound on s
There is no (18, 35, 194)-net in base 3, because
- 1 times m-reduction [i] would yield (18, 34, 194)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 17176 363842 000465 > 334 [i]