Best Known (43, 43+29, s)-Nets in Base 7
(43, 43+29, 114)-Net over F7 — Constructive and digital
Digital (43, 72, 114)-net over F7, using
- trace code for nets [i] based on digital (7, 36, 57)-net over F49, using
- net from sequence [i] based on digital (7, 56)-sequence over F49, using
(43, 43+29, 290)-Net over F7 — Digital
Digital (43, 72, 290)-net over F7, using
(43, 43+29, 19451)-Net in Base 7 — Upper bound on s
There is no (43, 72, 19452)-net in base 7, because
- 1 times m-reduction [i] would yield (43, 71, 19452)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1 004543 631583 322136 871115 829904 001683 495453 810593 851135 275657 > 771 [i]