Best Known (53, 53+49, s)-Nets in Base 7
(53, 53+49, 104)-Net over F7 — Constructive and digital
Digital (53, 102, 104)-net over F7, using
- trace code for nets [i] based on digital (2, 51, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
(53, 53+49, 180)-Net over F7 — Digital
Digital (53, 102, 180)-net over F7, using
(53, 53+49, 5868)-Net in Base 7 — Upper bound on s
There is no (53, 102, 5869)-net in base 7, because
- 1 times m-reduction [i] would yield (53, 101, 5869)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 22 695022 233005 548276 241582 688482 264936 141054 216076 830777 587766 596287 562634 295599 570689 > 7101 [i]