Best Known (109−76, 109, s)-Nets in Base 7
(109−76, 109, 35)-Net over F7 — Constructive and digital
Digital (33, 109, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(109−76, 109, 96)-Net over F7 — Digital
Digital (33, 109, 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
(109−76, 109, 640)-Net in Base 7 — Upper bound on s
There is no (33, 109, 641)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 135 489088 008090 641777 240096 387055 506021 788016 789994 525498 282362 612689 270440 779912 147172 397969 > 7109 [i]