Best Known (30, 46, s)-Nets in Base 3
(30, 46, 72)-Net over F3 — Constructive and digital
Digital (30, 46, 72)-net over F3, using
- trace code for nets [i] based on digital (7, 23, 36)-net over F9, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
(30, 46, 93)-Net over F3 — Digital
Digital (30, 46, 93)-net over F3, using
(30, 46, 1035)-Net in Base 3 — Upper bound on s
There is no (30, 46, 1036)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 8924 500972 454754 765249 > 346 [i]