Best Known (51, 51+41, s)-Nets in Base 7
(51, 51+41, 110)-Net over F7 — Constructive and digital
Digital (51, 92, 110)-net over F7, using
- trace code for nets [i] based on digital (5, 46, 55)-net over F49, using
- net from sequence [i] based on digital (5, 54)-sequence over F49, using
(51, 51+41, 222)-Net over F7 — Digital
Digital (51, 92, 222)-net over F7, using
(51, 51+41, 9677)-Net in Base 7 — Upper bound on s
There is no (51, 92, 9678)-net in base 7, because
- 1 times m-reduction [i] would yield (51, 91, 9678)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 80189 578080 704963 999349 301757 820674 789508 798168 734929 902053 956456 377858 016201 > 791 [i]