Best Known (74−29, 74, s)-Nets in Base 7
(74−29, 74, 116)-Net over F7 — Constructive and digital
Digital (45, 74, 116)-net over F7, using
- trace code for nets [i] based on digital (8, 37, 58)-net over F49, using
- net from sequence [i] based on digital (8, 57)-sequence over F49, using
(74−29, 74, 336)-Net over F7 — Digital
Digital (45, 74, 336)-net over F7, using
(74−29, 74, 25688)-Net in Base 7 — Upper bound on s
There is no (45, 74, 25689)-net in base 7, because
- 1 times m-reduction [i] would yield (45, 73, 25689)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 49 233422 737011 525100 854703 476865 826566 818675 045771 687191 938561 > 773 [i]