Best Known (19, 19+33, s)-Nets in Base 49
(19, 19+33, 103)-Net over F49 — Constructive and digital
Digital (19, 52, 103)-net over F49, using
- (u, u+v)-construction [i] based on
- digital (1, 17, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
- digital (2, 35, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
- digital (1, 17, 51)-net over F49, using
(19, 19+33, 146)-Net over F49 — Digital
Digital (19, 52, 146)-net over F49, using
(19, 19+33, 34569)-Net in Base 49 — Upper bound on s
There is no (19, 52, 34570)-net in base 49, because
- 1 times m-reduction [i] would yield (19, 51, 34570)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 158 490981 197476 458747 297695 667239 933606 468014 444649 752083 786843 797698 486126 758133 310977 > 4951 [i]