Best Known (47−27, 47, s)-Nets in Base 256
(47−27, 47, 521)-Net over F256 — Constructive and digital
Digital (20, 47, 521)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (3, 16, 260)-net over F256, using
- net from sequence [i] based on digital (3, 259)-sequence over F256, using
- digital (4, 31, 261)-net over F256, using
- net from sequence [i] based on digital (4, 260)-sequence over F256, using
- digital (3, 16, 260)-net over F256, using
(47−27, 47, 947)-Net over F256 — Digital
Digital (20, 47, 947)-net over F256, using
(47−27, 47, 7384653)-Net in Base 256 — Upper bound on s
There is no (20, 47, 7384654)-net in base 256, because
- 1 times m-reduction [i] would yield (20, 46, 7384654)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 601 227210 622159 544143 960052 106813 895983 796352 116038 476278 689028 744428 451958 254258 056943 025423 993447 417724 447511 > 25646 [i]