Best Known (108−47, 108, s)-Nets in Base 7
(108−47, 108, 114)-Net over F7 — Constructive and digital
Digital (61, 108, 114)-net over F7, using
- trace code for nets [i] based on digital (7, 54, 57)-net over F49, using
- net from sequence [i] based on digital (7, 56)-sequence over F49, using
(108−47, 108, 279)-Net over F7 — Digital
Digital (61, 108, 279)-net over F7, using
(108−47, 108, 13408)-Net in Base 7 — Upper bound on s
There is no (61, 108, 13409)-net in base 7, because
- 1 times m-reduction [i] would yield (61, 107, 13409)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 2 667725 062351 365885 558138 425483 587881 274229 121984 523279 690000 120438 152625 564119 942498 851959 > 7107 [i]