Best Known (20−11, 20, s)-Nets in Base 3
(20−11, 20, 21)-Net over F3 — Constructive and digital
Digital (9, 20, 21)-net over F3, using
- 1 times m-reduction [i] based on digital (9, 21, 21)-net over F3, using
(20−11, 20, 80)-Net in Base 3 — Upper bound on s
There is no (9, 20, 81)-net in base 3, because
- 1 times m-reduction [i] would yield (9, 19, 81)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 1211 492755 > 319 [i]