Best Known (78−33, 78, s)-Nets in Base 7
(78−33, 78, 112)-Net over F7 — Constructive and digital
Digital (45, 78, 112)-net over F7, using
- trace code for nets [i] based on digital (6, 39, 56)-net over F49, using
- net from sequence [i] based on digital (6, 55)-sequence over F49, using
(78−33, 78, 244)-Net over F7 — Digital
Digital (45, 78, 244)-net over F7, using
(78−33, 78, 13215)-Net in Base 7 — Upper bound on s
There is no (45, 78, 13216)-net in base 7, because
- 1 times m-reduction [i] would yield (45, 77, 13216)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 118234 146592 930850 435088 432368 492393 346232 429481 712054 584550 789121 > 777 [i]