Best Known (161−38, 161, s)-Nets in Base 4
(161−38, 161, 1036)-Net over F4 — Constructive and digital
Digital (123, 161, 1036)-net over F4, using
- 41 times duplication [i] based on digital (122, 160, 1036)-net over F4, using
- trace code for nets [i] based on digital (2, 40, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- trace code for nets [i] based on digital (2, 40, 259)-net over F256, using
(161−38, 161, 2053)-Net over F4 — Digital
Digital (123, 161, 2053)-net over F4, using
(161−38, 161, 333995)-Net in Base 4 — Upper bound on s
There is no (123, 161, 333996)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 8 544213 083264 209633 240333 370266 504803 760714 146228 583596 713635 194859 521389 990825 962003 765988 019886 > 4161 [i]