Best Known (45, 45+43, s)-Nets in Base 7
(45, 45+43, 102)-Net over F7 — Constructive and digital
Digital (45, 88, 102)-net over F7, using
- trace code for nets [i] based on digital (1, 44, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
(45, 45+43, 150)-Net over F7 — Digital
Digital (45, 88, 150)-net over F7, using
(45, 45+43, 4572)-Net in Base 7 — Upper bound on s
There is no (45, 88, 4573)-net in base 7, because
- 1 times m-reduction [i] would yield (45, 87, 4573)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 33 413047 012889 511725 071822 488049 972862 780063 728748 111326 190578 176436 401199 > 787 [i]