Best Known (34−17, 34, s)-Nets in Base 3
(34−17, 34, 34)-Net over F3 — Constructive and digital
(34−17, 34, 167)-Net in Base 3 — Upper bound on s
There is no (17, 34, 168)-net in base 3, because
- 1 times m-reduction [i] would yield (17, 33, 168)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 5679 639824 346369 > 333 [i]