Best Known (59−34, 59, s)-Nets in Base 7
(59−34, 59, 31)-Net over F7 — Constructive and digital
Digital (25, 59, 31)-net over F7, using
- net from sequence [i] based on digital (25, 30)-sequence over F7, using
(59−34, 59, 72)-Net over F7 — Digital
Digital (25, 59, 72)-net over F7, using
- t-expansion [i] based on digital (22, 59, 72)-net over F7, using
- net from sequence [i] based on digital (22, 71)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 22 and N(F) ≥ 72, using
- net from sequence [i] based on digital (22, 71)-sequence over F7, using
(59−34, 59, 1014)-Net in Base 7 — Upper bound on s
There is no (25, 59, 1015)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 73 373615 358062 116612 938431 100617 829655 807078 873963 > 759 [i]