Best Known (72−31, 72, s)-Nets in Base 7
(72−31, 72, 110)-Net over F7 — Constructive and digital
Digital (41, 72, 110)-net over F7, using
- trace code for nets [i] based on digital (5, 36, 55)-net over F49, using
- net from sequence [i] based on digital (5, 54)-sequence over F49, using
(72−31, 72, 214)-Net over F7 — Digital
Digital (41, 72, 214)-net over F7, using
(72−31, 72, 10699)-Net in Base 7 — Upper bound on s
There is no (41, 72, 10700)-net in base 7, because
- 1 times m-reduction [i] would yield (41, 71, 10700)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1 005322 454938 730531 814417 690406 744607 272015 893205 114511 460961 > 771 [i]