Best Known (18−11, 18, s)-Nets in Base 3
(18−11, 18, 18)-Net over F3 — Constructive and digital
(18−11, 18, 50)-Net in Base 3 — Upper bound on s
There is no (7, 18, 51)-net in base 3, because
- 1 times m-reduction [i] would yield (7, 17, 51)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 138 548063 > 317 [i]