Best Known (169−38, 169, s)-Nets in Base 3
(169−38, 169, 600)-Net over F3 — Constructive and digital
Digital (131, 169, 600)-net over F3, using
- 31 times duplication [i] based on digital (130, 168, 600)-net over F3, using
- trace code for nets [i] based on digital (4, 42, 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, 42, 150)-net over F81, using
(169−38, 169, 1125)-Net over F3 — Digital
Digital (131, 169, 1125)-net over F3, using
(169−38, 169, 69492)-Net in Base 3 — Upper bound on s
There is no (131, 169, 69493)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 430 082328 079921 687984 317631 464342 209094 531692 103860 507034 444483 404362 966879 141995 > 3169 [i]