Best Known (30, 48, s)-Nets in Base 3
(30, 48, 68)-Net over F3 — Constructive and digital
Digital (30, 48, 68)-net over F3, using
- trace code for nets [i] based on digital (6, 24, 34)-net over F9, using
- net from sequence [i] based on digital (6, 33)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
- net from sequence [i] based on digital (6, 33)-sequence over F9, using
(30, 48, 75)-Net over F3 — Digital
Digital (30, 48, 75)-net over F3, using
(30, 48, 718)-Net in Base 3 — Upper bound on s
There is no (30, 48, 719)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 80497 267468 556704 645007 > 348 [i]