Best Known (16, 16+23, s)-Nets in Base 49
(16, 16+23, 105)-Net over F49 — Constructive and digital
Digital (16, 39, 105)-net over F49, using
- (u, u+v)-construction [i] based on
- digital (2, 13, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
- digital (3, 26, 53)-net over F49, using
- net from sequence [i] based on digital (3, 52)-sequence over F49, using
- digital (2, 13, 52)-net over F49, using
(16, 16+23, 198)-Net over F49 — Digital
Digital (16, 39, 198)-net over F49, using
(16, 16+23, 70566)-Net in Base 49 — Upper bound on s
There is no (16, 39, 70567)-net in base 49, because
- 1 times m-reduction [i] would yield (16, 38, 70567)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 16883 795377 829322 239436 519653 065962 392459 680603 759620 394313 464945 > 4938 [i]