Best Known (65, 65+28, s)-Nets in Base 3
(65, 65+28, 156)-Net over F3 — Constructive and digital
Digital (65, 93, 156)-net over F3, using
- trace code for nets [i] based on digital (3, 31, 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
(65, 65+28, 237)-Net over F3 — Digital
Digital (65, 93, 237)-net over F3, using
(65, 65+28, 4452)-Net in Base 3 — Upper bound on s
There is no (65, 93, 4453)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 236 336654 600050 100688 111345 072094 771808 034081 > 393 [i]