Best Known (189, 189+55, s)-Nets in Base 4
(189, 189+55, 1052)-Net over F4 — Constructive and digital
Digital (189, 244, 1052)-net over F4, using
- trace code for nets [i] based on digital (6, 61, 263)-net over F256, using
- net from sequence [i] based on digital (6, 262)-sequence over F256, using
(189, 189+55, 3698)-Net over F4 — Digital
Digital (189, 244, 3698)-net over F4, using
(189, 189+55, 954586)-Net in Base 4 — Upper bound on s
There is no (189, 244, 954587)-net in base 4, because
- 1 times m-reduction [i] would yield (189, 243, 954587)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 199 792990 298513 671477 459240 197927 309801 804030 191288 005414 438763 675329 352967 517082 972823 711065 867742 684957 362940 687057 474863 235608 970736 556465 319100 > 4243 [i]