Best Known (154, 154+46, s)-Nets in Base 3
(154, 154+46, 600)-Net over F3 — Constructive and digital
Digital (154, 200, 600)-net over F3, using
- trace code for nets [i] based on digital (4, 50, 150)-net over F81, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
(154, 154+46, 1185)-Net over F3 — Digital
Digital (154, 200, 1185)-net over F3, using
(154, 154+46, 66398)-Net in Base 3 — Upper bound on s
There is no (154, 200, 66399)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 265640 696959 551734 988639 133672 410929 873132 009657 431400 816484 995971 242215 717196 683223 765577 775955 > 3200 [i]