Best Known (40, 78, s)-Nets in Base 9
(40, 78, 200)-Net over F9 — Constructive and digital
Digital (40, 78, 200)-net over F9, using
- trace code for nets [i] based on digital (1, 39, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
(40, 78, 8183)-Net in Base 9 — Upper bound on s
There is no (40, 78, 8184)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 270 033794 005751 468818 455444 286660 611099 592698 783933 866103 880605 450667 374657 > 978 [i]