Best Known (162−46, 162, s)-Nets in Base 3
(162−46, 162, 252)-Net over F3 — Constructive and digital
Digital (116, 162, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 54, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
(162−46, 162, 446)-Net over F3 — Digital
Digital (116, 162, 446)-net over F3, using
(162−46, 162, 10792)-Net in Base 3 — Upper bound on s
There is no (116, 162, 10793)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 196901 601656 832384 384279 690569 773696 587272 774723 987037 316599 976608 290340 478443 > 3162 [i]