Best Known (23, 53, s)-Nets in Base 7
(23, 53, 30)-Net over F7 — Constructive and digital
Digital (23, 53, 30)-net over F7, using
- net from sequence [i] based on digital (23, 29)-sequence over F7, using
(23, 53, 72)-Net over F7 — Digital
Digital (23, 53, 72)-net over F7, using
- t-expansion [i] based on digital (22, 53, 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, 53, 1027)-Net in Base 7 — Upper bound on s
There is no (23, 53, 1028)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 624 325902 551874 600528 548255 820120 445042 635553 > 753 [i]