Best Known (144−40, 144, s)-Nets in Base 3
(144−40, 144, 252)-Net over F3 — Constructive and digital
Digital (104, 144, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 48, 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
(144−40, 144, 438)-Net over F3 — Digital
Digital (104, 144, 438)-net over F3, using
(144−40, 144, 11292)-Net in Base 3 — Upper bound on s
There is no (104, 144, 11293)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 507 734121 629924 976367 785714 856652 537007 878104 109372 753254 092755 947473 > 3144 [i]