Best Known (189−46, 189, s)-Nets in Base 3
(189−46, 189, 400)-Net over F3 — Constructive and digital
Digital (143, 189, 400)-net over F3, using
- 31 times duplication [i] based on digital (142, 188, 400)-net over F3, using
- trace code for nets [i] based on digital (1, 47, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- trace code for nets [i] based on digital (1, 47, 100)-net over F81, using
(189−46, 189, 905)-Net over F3 — Digital
Digital (143, 189, 905)-net over F3, using
(189−46, 189, 39252)-Net in Base 3 — Upper bound on s
There is no (143, 189, 39253)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1 499663 150459 917410 064189 323733 427152 069113 077931 580152 790944 774429 779739 624589 845367 404891 > 3189 [i]