Best Known (37−22, 37, s)-Nets in Base 7
(37−22, 37, 23)-Net over F7 — Constructive and digital
Digital (15, 37, 23)-net over F7, using
- net from sequence [i] based on digital (15, 22)-sequence over F7, using
(37−22, 37, 48)-Net over F7 — Digital
Digital (15, 37, 48)-net over F7, using
- t-expansion [i] based on digital (13, 37, 48)-net over F7, using
- net from sequence [i] based on digital (13, 47)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 13 and N(F) ≥ 48, using
- net from sequence [i] based on digital (13, 47)-sequence over F7, using
(37−22, 37, 562)-Net in Base 7 — Upper bound on s
There is no (15, 37, 563)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 18 685493 239658 115223 921533 711487 > 737 [i]