Best Known (46, 66, s)-Nets in Base 3
(46, 66, 144)-Net over F3 — Constructive and digital
Digital (46, 66, 144)-net over F3, using
- trace code for nets [i] based on digital (2, 22, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
(46, 66, 186)-Net over F3 — Digital
Digital (46, 66, 186)-net over F3, using
(46, 66, 3181)-Net in Base 3 — Upper bound on s
There is no (46, 66, 3182)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 30 936365 226436 948886 455859 190701 > 366 [i]