Best Known (140−64, 140, s)-Nets in Base 3
(140−64, 140, 68)-Net over F3 — Constructive and digital
Digital (76, 140, 68)-net over F3, using
- trace code for nets [i] based on digital (6, 70, 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
(140−64, 140, 95)-Net over F3 — Digital
Digital (76, 140, 95)-net over F3, using
(140−64, 140, 751)-Net in Base 3 — Upper bound on s
There is no (76, 140, 752)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 6 499013 269871 587837 321307 045216 987279 256374 090343 970309 294461 052929 > 3140 [i]