Best Known (61, 61+45, s)-Nets in Base 7
(61, 61+45, 116)-Net over F7 — Constructive and digital
Digital (61, 106, 116)-net over F7, using
- trace code for nets [i] based on digital (8, 53, 58)-net over F49, using
- net from sequence [i] based on digital (8, 57)-sequence over F49, using
(61, 61+45, 304)-Net over F7 — Digital
Digital (61, 106, 304)-net over F7, using
(61, 61+45, 16283)-Net in Base 7 — Upper bound on s
There is no (61, 106, 16284)-net in base 7, because
- 1 times m-reduction [i] would yield (61, 105, 16284)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 54401 538164 465696 454729 464363 283587 956254 387605 994886 712747 800361 543183 613675 005882 171977 > 7105 [i]