Best Known (30−15, 30, s)-Nets in Base 3
(30−15, 30, 31)-Net over F3 — Constructive and digital
Digital (15, 30, 31)-net over F3, using
- 1 times m-reduction [i] based on digital (15, 31, 31)-net over F3, using
(30−15, 30, 153)-Net in Base 3 — Upper bound on s
There is no (15, 30, 154)-net in base 3, because
- 1 times m-reduction [i] would yield (15, 29, 154)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 69 349826 264841 > 329 [i]