Best Known (11−8, 11, s)-Nets in Base 7
(11−8, 11, 14)-Net over F7 — Constructive and digital
Digital (3, 11, 14)-net over F7, using
- 3 times m-reduction [i] based on digital (3, 14, 14)-net over F7, using
(11−8, 11, 20)-Net over F7 — Digital
Digital (3, 11, 20)-net over F7, using
- net from sequence [i] based on digital (3, 19)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 3 and N(F) ≥ 20, using
(11−8, 11, 75)-Net in Base 7 — Upper bound on s
There is no (3, 11, 76)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 2013 604801 > 711 [i]