Best Known (192−46, 192, s)-Nets in Base 3
(192−46, 192, 464)-Net over F3 — Constructive and digital
Digital (146, 192, 464)-net over F3, using
- trace code for nets [i] based on digital (2, 48, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
(192−46, 192, 978)-Net over F3 — Digital
Digital (146, 192, 978)-net over F3, using
(192−46, 192, 45303)-Net in Base 3 — Upper bound on s
There is no (146, 192, 45304)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 40 485052 091989 846316 438342 886795 330677 932152 683668 022054 879779 137742 319908 848340 972680 861345 > 3192 [i]