Best Known (105−32, 105, s)-Nets in Base 3
(105−32, 105, 156)-Net over F3 — Constructive and digital
Digital (73, 105, 156)-net over F3, using
- trace code for nets [i] based on digital (3, 35, 52)-net over F27, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
(105−32, 105, 249)-Net over F3 — Digital
Digital (73, 105, 249)-net over F3, using
(105−32, 105, 4583)-Net in Base 3 — Upper bound on s
There is no (73, 105, 4584)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 125 660075 461986 845642 150961 307922 080362 508904 987649 > 3105 [i]