Best Known (49, 49+47, s)-Nets in Base 7
(49, 49+47, 102)-Net over F7 — Constructive and digital
Digital (49, 96, 102)-net over F7, using
- trace code for nets [i] based on digital (1, 48, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
(49, 49+47, 159)-Net over F7 — Digital
Digital (49, 96, 159)-net over F7, using
(49, 49+47, 4848)-Net in Base 7 — Upper bound on s
There is no (49, 96, 4849)-net in base 7, because
- 1 times m-reduction [i] would yield (49, 95, 4849)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 192 958564 056835 729807 053466 288809 141507 530240 715811 625801 655733 317631 624013 965303 > 795 [i]