Best Known (102−47, 102, s)-Nets in Base 7
(102−47, 102, 108)-Net over F7 — Constructive and digital
Digital (55, 102, 108)-net over F7, using
- trace code for nets [i] based on digital (4, 51, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
(102−47, 102, 212)-Net over F7 — Digital
Digital (55, 102, 212)-net over F7, using
(102−47, 102, 8064)-Net in Base 7 — Upper bound on s
There is no (55, 102, 8065)-net in base 7, because
- 1 times m-reduction [i] would yield (55, 101, 8065)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 22 658371 992748 875899 551252 228173 250756 872939 104865 274695 342875 522737 324450 589287 074679 > 7101 [i]