Best Known (23, 57, s)-Nets in Base 7
(23, 57, 30)-Net over F7 — Constructive and digital
Digital (23, 57, 30)-net over F7, using
- net from sequence [i] based on digital (23, 29)-sequence over F7, using
(23, 57, 72)-Net over F7 — Digital
Digital (23, 57, 72)-net over F7, using
- t-expansion [i] based on digital (22, 57, 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
(23, 57, 804)-Net in Base 7 — Upper bound on s
There is no (23, 57, 805)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 1 493836 983139 653892 469673 666438 102350 536283 237983 > 757 [i]