Best Known (80−33, 80, s)-Nets in Base 7
(80−33, 80, 114)-Net over F7 — Constructive and digital
Digital (47, 80, 114)-net over F7, using
- trace code for nets [i] based on digital (7, 40, 57)-net over F49, using
- net from sequence [i] based on digital (7, 56)-sequence over F49, using
(80−33, 80, 279)-Net over F7 — Digital
Digital (47, 80, 279)-net over F7, using
(80−33, 80, 16857)-Net in Base 7 — Upper bound on s
There is no (47, 80, 16858)-net in base 7, because
- 1 times m-reduction [i] would yield (47, 79, 16858)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 5 792762 434716 599349 088114 377201 255972 160892 473788 684166 669681 299745 > 779 [i]