Best Known (212−43, 212, s)-Nets in Base 4
(212−43, 212, 1068)-Net over F4 — Constructive and digital
Digital (169, 212, 1068)-net over F4, using
- trace code for nets [i] based on digital (10, 53, 267)-net over F256, using
- net from sequence [i] based on digital (10, 266)-sequence over F256, using
(212−43, 212, 6041)-Net over F4 — Digital
Digital (169, 212, 6041)-net over F4, using
(212−43, 212, 3240697)-Net in Base 4 — Upper bound on s
There is no (169, 212, 3240698)-net in base 4, because
- 1 times m-reduction [i] would yield (169, 211, 3240698)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 10 830788 194913 639389 430403 766142 550751 848192 825032 203952 984681 415847 105033 685164 039353 722837 407260 266544 678116 926992 682932 500890 > 4211 [i]