Best Known (66, 66+52, s)-Nets in Base 3
(66, 66+52, 72)-Net over F3 — Constructive and digital
Digital (66, 118, 72)-net over F3, using
- trace code for nets [i] based on digital (7, 59, 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
(66, 66+52, 91)-Net over F3 — Digital
Digital (66, 118, 91)-net over F3, using
(66, 66+52, 746)-Net in Base 3 — Upper bound on s
There is no (66, 118, 747)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 200 201102 255961 188223 704719 900353 231824 772846 678298 080645 > 3118 [i]