Best Known (70−28, 70, s)-Nets in Base 7
(70−28, 70, 114)-Net over F7 — Constructive and digital
Digital (42, 70, 114)-net over F7, using
- trace code for nets [i] based on digital (7, 35, 57)-net over F49, using
- net from sequence [i] based on digital (7, 56)-sequence over F49, using
(70−28, 70, 294)-Net over F7 — Digital
Digital (42, 70, 294)-net over F7, using
(70−28, 70, 16926)-Net in Base 7 — Upper bound on s
There is no (42, 70, 16927)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 143549 142202 641854 280230 948693 741154 256463 058949 966957 607917 > 770 [i]