Best Known (45, 45+31, s)-Nets in Base 7
(45, 45+31, 114)-Net over F7 — Constructive and digital
Digital (45, 76, 114)-net over F7, using
- trace code for nets [i] based on digital (7, 38, 57)-net over F49, using
- net from sequence [i] based on digital (7, 56)-sequence over F49, using
(45, 45+31, 283)-Net over F7 — Digital
Digital (45, 76, 283)-net over F7, using
(45, 45+31, 17983)-Net in Base 7 — Upper bound on s
There is no (45, 76, 17984)-net in base 7, because
- 1 times m-reduction [i] would yield (45, 75, 17984)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 2412 699695 667365 364485 476647 183454 344383 674898 909494 455645 264385 > 775 [i]