Best Known (57, 57+42, s)-Nets in Base 7
(57, 57+42, 114)-Net over F7 — Constructive and digital
Digital (57, 99, 114)-net over F7, using
- 1 times m-reduction [i] based on digital (57, 100, 114)-net over F7, using
- trace code for nets [i] based on digital (7, 50, 57)-net over F49, using
- net from sequence [i] based on digital (7, 56)-sequence over F49, using
- trace code for nets [i] based on digital (7, 50, 57)-net over F49, using
(57, 57+42, 289)-Net over F7 — Digital
Digital (57, 99, 289)-net over F7, using
(57, 57+42, 13930)-Net in Base 7 — Upper bound on s
There is no (57, 99, 13931)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 462691 425991 255372 139182 465288 031527 160161 444951 878931 867664 810608 458758 028478 206091 > 799 [i]