Best Known (92, 92+40, s)-Nets in Base 3
(92, 92+40, 192)-Net over F3 — Constructive and digital
Digital (92, 132, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 44, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
(92, 92+40, 303)-Net over F3 — Digital
Digital (92, 132, 303)-net over F3, using
(92, 92+40, 5832)-Net in Base 3 — Upper bound on s
There is no (92, 132, 5833)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 957 774929 611810 216227 320768 312854 286717 305593 234253 921128 619857 > 3132 [i]