Best Known (49, 49+45, s)-Nets in Base 7
(49, 49+45, 104)-Net over F7 — Constructive and digital
Digital (49, 94, 104)-net over F7, using
- trace code for nets [i] based on digital (2, 47, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
(49, 49+45, 171)-Net over F7 — Digital
Digital (49, 94, 171)-net over F7, using
(49, 49+45, 5624)-Net in Base 7 — Upper bound on s
There is no (49, 94, 5625)-net in base 7, because
- 1 times m-reduction [i] would yield (49, 93, 5625)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 3 937946 981932 229742 447155 168621 720685 457965 201405 261170 739830 460718 958057 712001 > 793 [i]