Best Known (132−36, 132, s)-Nets in Base 3
(132−36, 132, 252)-Net over F3 — Constructive and digital
Digital (96, 132, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 44, 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
(132−36, 132, 439)-Net over F3 — Digital
Digital (96, 132, 439)-net over F3, using
(132−36, 132, 11894)-Net in Base 3 — Upper bound on s
There is no (96, 132, 11895)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 955 529919 757445 327681 409089 317411 808317 184974 061016 268185 050445 > 3132 [i]