Best Known (40−14, 40, s)-Nets in Base 3
(40−14, 40, 68)-Net over F3 — Constructive and digital
Digital (26, 40, 68)-net over F3, using
- trace code for nets [i] based on digital (6, 20, 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
(40−14, 40, 85)-Net over F3 — Digital
Digital (26, 40, 85)-net over F3, using
(40−14, 40, 893)-Net in Base 3 — Upper bound on s
There is no (26, 40, 894)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 12 192678 542893 318713 > 340 [i]