Best Known (36−17, 36, s)-Nets in Base 3
(36−17, 36, 37)-Net over F3 — Constructive and digital
Digital (19, 36, 37)-net over F3, using
- 1 times m-reduction [i] based on digital (19, 37, 37)-net over F3, using
(36−17, 36, 222)-Net in Base 3 — Upper bound on s
There is no (19, 36, 223)-net in base 3, because
- 1 times m-reduction [i] would yield (19, 35, 223)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 50415 516670 926321 > 335 [i]