Best Known (51, 51+43, s)-Nets in Base 7
(51, 51+43, 108)-Net over F7 — Constructive and digital
Digital (51, 94, 108)-net over F7, using
- trace code for nets [i] based on digital (4, 47, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
(51, 51+43, 204)-Net over F7 — Digital
Digital (51, 94, 204)-net over F7, using
(51, 51+43, 7983)-Net in Base 7 — Upper bound on s
There is no (51, 94, 7984)-net in base 7, because
- 1 times m-reduction [i] would yield (51, 93, 7984)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 3 934260 746345 503234 308308 594817 854319 341351 092788 047085 208007 612906 161891 942945 > 793 [i]