Best Known (168−50, 168, s)-Nets in Base 3
(168−50, 168, 228)-Net over F3 — Constructive and digital
Digital (118, 168, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 56, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
(168−50, 168, 392)-Net over F3 — Digital
Digital (118, 168, 392)-net over F3, using
(168−50, 168, 8157)-Net in Base 3 — Upper bound on s
There is no (118, 168, 8158)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 143 619670 911060 592648 924769 344219 634949 578957 744012 907103 532756 574715 419854 431245 > 3168 [i]