Best Known (109−48, 109, s)-Nets in Base 7
(109−48, 109, 112)-Net over F7 — Constructive and digital
Digital (61, 109, 112)-net over F7, using
- 1 times m-reduction [i] based on digital (61, 110, 112)-net over F7, using
- trace code for nets [i] based on digital (6, 55, 56)-net over F49, using
- net from sequence [i] based on digital (6, 55)-sequence over F49, using
- trace code for nets [i] based on digital (6, 55, 56)-net over F49, using
(109−48, 109, 267)-Net over F7 — Digital
Digital (61, 109, 267)-net over F7, using
(109−48, 109, 11240)-Net in Base 7 — Upper bound on s
There is no (61, 109, 11241)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 130 797358 669661 089913 321455 506725 883615 418807 619285 453131 835619 131013 662415 046017 872785 498177 > 7109 [i]