Best Known (166−50, 166, s)-Nets in Base 3
(166−50, 166, 204)-Net over F3 — Constructive and digital
Digital (116, 166, 204)-net over F3, using
- 31 times duplication [i] based on digital (115, 165, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 55, 68)-net over F27, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- trace code for nets [i] based on digital (5, 55, 68)-net over F27, using
(166−50, 166, 373)-Net over F3 — Digital
Digital (116, 166, 373)-net over F3, using
(166−50, 166, 7468)-Net in Base 3 — Upper bound on s
There is no (116, 166, 7469)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 15 928451 601337 218109 896127 758264 511918 645039 709960 188551 647797 154039 653069 301499 > 3166 [i]