Best Known (106−41, 106, s)-Nets in Base 7
(106−41, 106, 124)-Net over F7 — Constructive and digital
Digital (65, 106, 124)-net over F7, using
- trace code for nets [i] based on digital (12, 53, 62)-net over F49, using
- net from sequence [i] based on digital (12, 61)-sequence over F49, using
(106−41, 106, 462)-Net over F7 — Digital
Digital (65, 106, 462)-net over F7, using
(106−41, 106, 37824)-Net in Base 7 — Upper bound on s
There is no (65, 106, 37825)-net in base 7, because
- 1 times m-reduction [i] would yield (65, 105, 37825)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 54378 254635 053453 677695 640810 127439 567560 147056 829083 652088 006052 079149 639068 623704 129761 > 7105 [i]