Best Known (32−15, 32, s)-Nets in Base 3
(32−15, 32, 34)-Net over F3 — Constructive and digital
Digital (17, 32, 34)-net over F3, using
- 2 times m-reduction [i] based on digital (17, 34, 34)-net over F3, using
(32−15, 32, 212)-Net in Base 3 — Upper bound on s
There is no (17, 32, 213)-net in base 3, because
- 1 times m-reduction [i] would yield (17, 31, 213)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 621 892467 455259 > 331 [i]