Best Known (78−35, 78, s)-Nets in Base 7
(78−35, 78, 108)-Net over F7 — Constructive and digital
Digital (43, 78, 108)-net over F7, using
- trace code for nets [i] based on digital (4, 39, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
(78−35, 78, 190)-Net over F7 — Digital
Digital (43, 78, 190)-net over F7, using
(78−35, 78, 8035)-Net in Base 7 — Upper bound on s
There is no (43, 78, 8036)-net in base 7, because
- 1 times m-reduction [i] would yield (43, 77, 8036)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 118337 793460 797816 684874 993448 890879 129378 818912 864693 157507 616857 > 777 [i]