Best Known (108, 108+42, s)-Nets in Base 3
(108, 108+42, 252)-Net over F3 — Constructive and digital
Digital (108, 150, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 50, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
(108, 108+42, 440)-Net over F3 — Digital
Digital (108, 150, 440)-net over F3, using
(108, 108+42, 11083)-Net in Base 3 — Upper bound on s
There is no (108, 150, 11084)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 370469 264275 726481 429978 959339 871130 910599 376266 682472 171230 878381 082233 > 3150 [i]