Best Known (143, 185, s)-Nets in Base 3
(143, 185, 600)-Net over F3 — Constructive and digital
Digital (143, 185, 600)-net over F3, using
- 31 times duplication [i] based on digital (142, 184, 600)-net over F3, using
- trace code for nets [i] based on digital (4, 46, 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
- trace code for nets [i] based on digital (4, 46, 150)-net over F81, using
(143, 185, 1168)-Net over F3 — Digital
Digital (143, 185, 1168)-net over F3, using
(143, 185, 69269)-Net in Base 3 — Upper bound on s
There is no (143, 185, 69270)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 18511 144152 882027 421531 126376 323588 010291 962906 740210 819297 041205 058677 542455 573163 633253 > 3185 [i]