Best Known (32, 32+18, s)-Nets in Base 3
(32, 32+18, 72)-Net over F3 — Constructive and digital
Digital (32, 50, 72)-net over F3, using
- trace code for nets [i] based on digital (7, 25, 36)-net over F9, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
(32, 32+18, 88)-Net over F3 — Digital
Digital (32, 50, 88)-net over F3, using
(32, 32+18, 919)-Net in Base 3 — Upper bound on s
There is no (32, 50, 920)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 723447 764334 258366 742449 > 350 [i]