Best Known (156, 156+66, s)-Nets in Base 3
(156, 156+66, 252)-Net over F3 — Constructive and digital
Digital (156, 222, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 74, 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
(156, 156+66, 500)-Net over F3 — Digital
Digital (156, 222, 500)-net over F3, using
(156, 156+66, 10634)-Net in Base 3 — Upper bound on s
There is no (156, 222, 10635)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 8342 883589 471169 748174 579397 000056 485248 895165 566482 203759 060957 610825 817612 935279 015772 333151 978313 798615 > 3222 [i]