Best Known (20, 32, s)-Nets in Base 3
(20, 32, 60)-Net over F3 — Constructive and digital
Digital (20, 32, 60)-net over F3, using
- trace code for nets [i] based on digital (4, 16, 30)-net over F9, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
(20, 32, 61)-Net over F3 — Digital
Digital (20, 32, 61)-net over F3, using
(20, 32, 519)-Net in Base 3 — Upper bound on s
There is no (20, 32, 520)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1871 390455 157809 > 332 [i]