Best Known (55−35, 55, s)-Nets in Base 49
(55−35, 55, 103)-Net over F49 — Constructive and digital
Digital (20, 55, 103)-net over F49, using
- (u, u+v)-construction [i] based on
- digital (1, 18, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
- digital (2, 37, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
- digital (1, 18, 51)-net over F49, using
(55−35, 55, 149)-Net over F49 — Digital
Digital (20, 55, 149)-net over F49, using
(55−35, 55, 34950)-Net in Base 49 — Upper bound on s
There is no (20, 55, 34951)-net in base 49, because
- 1 times m-reduction [i] would yield (20, 54, 34951)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 18 647054 770743 162868 237066 277379 420369 873898 602494 756685 008474 626299 273671 866895 208246 742609 > 4954 [i]