Best Known (42, 69, s)-Nets in Base 7
(42, 69, 114)-Net over F7 — Constructive and digital
Digital (42, 69, 114)-net over F7, using
- 1 times m-reduction [i] based on 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
- trace code for nets [i] based on digital (7, 35, 57)-net over F49, using
(42, 69, 320)-Net over F7 — Digital
Digital (42, 69, 320)-net over F7, using
(42, 69, 24867)-Net in Base 7 — Upper bound on s
There is no (42, 69, 24868)-net in base 7, because
- 1 times m-reduction [i] would yield (42, 68, 24868)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 2930 020700 052234 606243 418980 402808 300821 460289 501792 708857 > 768 [i]