Best Known (19−11, 19, s)-Nets in Base 3
(19−11, 19, 20)-Net over F3 — Constructive and digital
Digital (8, 19, 20)-net over F3, using
- 1 times m-reduction [i] based on digital (8, 20, 20)-net over F3, using
(19−11, 19, 63)-Net in Base 3 — Upper bound on s
There is no (8, 19, 64)-net in base 3, because
- 1 times m-reduction [i] would yield (8, 18, 64)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 398 635137 > 318 [i]