Best Known (47, 47+39, s)-Nets in Base 7
(47, 47+39, 108)-Net over F7 — Constructive and digital
Digital (47, 86, 108)-net over F7, using
- trace code for nets [i] based on digital (4, 43, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
(47, 47+39, 196)-Net over F7 — Digital
Digital (47, 86, 196)-net over F7, using
(47, 47+39, 7963)-Net in Base 7 — Upper bound on s
There is no (47, 86, 7964)-net in base 7, because
- 1 times m-reduction [i] would yield (47, 85, 7964)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 682123 585899 026949 407359 998334 487875 463042 261521 393132 924123 383133 884001 > 785 [i]