Best Known (31−15, 31, s)-Nets in Base 3
(31−15, 31, 32)-Net over F3 — Constructive and digital
Digital (16, 31, 32)-net over F3, using
- 1 times m-reduction [i] based on digital (16, 32, 32)-net over F3, using
(31−15, 31, 180)-Net in Base 3 — Upper bound on s
There is no (16, 31, 181)-net in base 3, because
- 1 times m-reduction [i] would yield (16, 30, 181)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 206 193961 922715 > 330 [i]