Best Known (16, 46, s)-Nets in Base 49
(16, 46, 101)-Net over F49 — Constructive and digital
Digital (16, 46, 101)-net over F49, using
- (u, u+v)-construction [i] based on
- digital (0, 15, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- digital (1, 31, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
- digital (0, 15, 50)-net over F49, using
(16, 46, 114)-Net over F49 — Digital
Digital (16, 46, 114)-net over F49, using
(16, 46, 20400)-Net in Base 49 — Upper bound on s
There is no (16, 46, 20401)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 561338 984558 892356 866674 041088 419796 572704 081882 128948 717547 175898 250259 049169 > 4946 [i]