Best Known (20, 20+17, s)-Nets in Base 3
(20, 20+17, 38)-Net over F3 — Constructive and digital
Digital (20, 37, 38)-net over F3, using
- 1 times m-reduction [i] based on digital (20, 38, 38)-net over F3, using
(20, 20+17, 256)-Net in Base 3 — Upper bound on s
There is no (20, 37, 257)-net in base 3, because
- 1 times m-reduction [i] would yield (20, 36, 257)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 151693 318108 797345 > 336 [i]