Best Known (60, 60+45, s)-Nets in Base 7
(60, 60+45, 114)-Net over F7 — Constructive and digital
Digital (60, 105, 114)-net over F7, using
- 1 times m-reduction [i] based on digital (60, 106, 114)-net over F7, using
- trace code for nets [i] based on digital (7, 53, 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, 53, 57)-net over F49, using
(60, 60+45, 290)-Net over F7 — Digital
Digital (60, 105, 290)-net over F7, using
(60, 60+45, 14903)-Net in Base 7 — Upper bound on s
There is no (60, 105, 14904)-net in base 7, because
- 1 times m-reduction [i] would yield (60, 104, 14904)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 7767 801707 278244 859608 303803 355509 256846 933780 166893 500095 859020 950688 863263 830299 482129 > 7104 [i]