Best Known (74−33, 74, s)-Nets in Base 7
(74−33, 74, 108)-Net over F7 — Constructive and digital
Digital (41, 74, 108)-net over F7, using
- trace code for nets [i] based on digital (4, 37, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
(74−33, 74, 188)-Net over F7 — Digital
Digital (41, 74, 188)-net over F7, using
(74−33, 74, 8120)-Net in Base 7 — Upper bound on s
There is no (41, 74, 8121)-net in base 7, because
- 1 times m-reduction [i] would yield (41, 73, 8121)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 49 231452 969774 673386 558833 604631 780591 894754 008782 374567 788417 > 773 [i]