Best Known (67−44, 67, s)-Nets in Base 7
(67−44, 67, 30)-Net over F7 — Constructive and digital
Digital (23, 67, 30)-net over F7, using
- net from sequence [i] based on digital (23, 29)-sequence over F7, using
(67−44, 67, 72)-Net over F7 — Digital
Digital (23, 67, 72)-net over F7, using
- t-expansion [i] based on digital (22, 67, 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
(67−44, 67, 551)-Net in Base 7 — Upper bound on s
There is no (23, 67, 552)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 427 973362 878538 097283 219676 514104 696828 409926 289761 315633 > 767 [i]