Best Known (160, 160+50, s)-Nets in Base 3
(160, 160+50, 464)-Net over F3 — Constructive and digital
Digital (160, 210, 464)-net over F3, using
- 32 times duplication [i] based on digital (158, 208, 464)-net over F3, using
- trace code for nets [i] based on digital (2, 52, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- trace code for nets [i] based on digital (2, 52, 116)-net over F81, using
(160, 160+50, 1078)-Net over F3 — Digital
Digital (160, 210, 1078)-net over F3, using
(160, 160+50, 51785)-Net in Base 3 — Upper bound on s
There is no (160, 210, 51786)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 15687 284940 183981 001171 079158 044267 093011 933127 043759 856619 239730 494306 390147 881384 114938 928550 208805 > 3210 [i]