Best Known (72−35, 72, s)-Nets in Base 7
(72−35, 72, 102)-Net over F7 — Constructive and digital
Digital (37, 72, 102)-net over F7, using
- trace code for nets [i] based on digital (1, 36, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
(72−35, 72, 131)-Net over F7 — Digital
Digital (37, 72, 131)-net over F7, using
(72−35, 72, 4037)-Net in Base 7 — Upper bound on s
There is no (37, 72, 4038)-net in base 7, because
- 1 times m-reduction [i] would yield (37, 71, 4038)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1 004832 660875 206724 752774 858788 942029 987059 543089 118863 574789 > 771 [i]