Best Known (54−34, 54, s)-Nets in Base 7
(54−34, 54, 28)-Net over F7 — Constructive and digital
Digital (20, 54, 28)-net over F7, using
- net from sequence [i] based on digital (20, 27)-sequence over F7, using
(54−34, 54, 54)-Net over F7 — Digital
Digital (20, 54, 54)-net over F7, using
- t-expansion [i] based on digital (19, 54, 54)-net over F7, using
- net from sequence [i] based on digital (19, 53)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 19 and N(F) ≥ 54, using
- net from sequence [i] based on digital (19, 53)-sequence over F7, using
(54−34, 54, 567)-Net in Base 7 — Upper bound on s
There is no (20, 54, 568)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 4365 883226 703702 599706 783316 139395 232562 830929 > 754 [i]