Best Known (47, 90, s)-Nets in Base 7
(47, 90, 104)-Net over F7 — Constructive and digital
Digital (47, 90, 104)-net over F7, using
- trace code for nets [i] based on digital (2, 45, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
(47, 90, 166)-Net over F7 — Digital
Digital (47, 90, 166)-net over F7, using
(47, 90, 5506)-Net in Base 7 — Upper bound on s
There is no (47, 90, 5507)-net in base 7, because
- 1 times m-reduction [i] would yield (47, 89, 5507)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1638 179011 614141 429686 200317 323716 310052 743870 743040 309012 647415 620058 464219 > 789 [i]