Best Known (43, 43+39, s)-Nets in Base 7
(43, 43+39, 104)-Net over F7 — Constructive and digital
Digital (43, 82, 104)-net over F7, using
- trace code for nets [i] based on digital (2, 41, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
(43, 43+39, 157)-Net over F7 — Digital
Digital (43, 82, 157)-net over F7, using
(43, 43+39, 5282)-Net in Base 7 — Upper bound on s
There is no (43, 82, 5283)-net in base 7, because
- 1 times m-reduction [i] would yield (43, 81, 5283)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 284 104426 206822 816227 472652 070022 329374 839760 118953 884527 032614 212815 > 781 [i]