Best Known (90−41, 90, s)-Nets in Base 7
(90−41, 90, 108)-Net over F7 — Constructive and digital
Digital (49, 90, 108)-net over F7, using
- trace code for nets [i] based on digital (4, 45, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
(90−41, 90, 200)-Net over F7 — Digital
Digital (49, 90, 200)-net over F7, using
(90−41, 90, 7964)-Net in Base 7 — Upper bound on s
There is no (49, 90, 7965)-net in base 7, because
- 1 times m-reduction [i] would yield (49, 89, 7965)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1639 050247 218440 615392 581971 502584 113612 195945 487191 672363 328819 499235 289569 > 789 [i]