Best Known (92−59, 92, s)-Nets in Base 7
(92−59, 92, 35)-Net over F7 — Constructive and digital
Digital (33, 92, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(92−59, 92, 96)-Net over F7 — Digital
Digital (33, 92, 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
(92−59, 92, 853)-Net in Base 7 — Upper bound on s
There is no (33, 92, 854)-net in base 7, because
- 1 times m-reduction [i] would yield (33, 91, 854)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 80350 634844 984610 336471 689751 839005 130220 994916 157627 572771 486165 146814 459277 > 791 [i]