Best Known (33, 33+40, s)-Nets in Base 7
(33, 33+40, 35)-Net over F7 — Constructive and digital
Digital (33, 73, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(33, 33+40, 96)-Net over F7 — Digital
Digital (33, 73, 96)-net over F7, using
- net from sequence [i] based on digital (33, 95)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 33 and N(F) ≥ 96, using
(33, 33+40, 1668)-Net in Base 7 — Upper bound on s
There is no (33, 73, 1669)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 49 248786 992382 167715 489944 597089 025554 718904 428978 656562 545057 > 773 [i]