Best Known (18, 18+33, s)-Nets in Base 49
(18, 18+33, 102)-Net over F49 — Constructive and digital
Digital (18, 51, 102)-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 (1, 34, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49 (see above)
- digital (1, 17, 51)-net over F49, using
(18, 18+33, 128)-Net over F49 — Digital
Digital (18, 51, 128)-net over F49, using
(18, 18+33, 27104)-Net in Base 49 — Upper bound on s
There is no (18, 51, 27105)-net in base 49, because
- 1 times m-reduction [i] would yield (18, 50, 27105)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 3 236223 819659 520870 416056 569553 523135 948102 755850 964769 811933 701761 298304 256181 033729 > 4950 [i]