Best Known (210−66, 210, s)-Nets in Base 3
(210−66, 210, 192)-Net over F3 — Constructive and digital
Digital (144, 210, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 70, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
(210−66, 210, 400)-Net over F3 — Digital
Digital (144, 210, 400)-net over F3, using
(210−66, 210, 7121)-Net in Base 3 — Upper bound on s
There is no (144, 210, 7122)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 15714 386249 283561 085309 229275 655353 614697 093320 246640 981159 901219 041723 182582 828826 089227 709583 913061 > 3210 [i]