Best Known (163, 163+41, s)-Nets in Base 4
(163, 163+41, 1068)-Net over F4 — Constructive and digital
Digital (163, 204, 1068)-net over F4, using
- trace code for nets [i] based on digital (10, 51, 267)-net over F256, using
- net from sequence [i] based on digital (10, 266)-sequence over F256, using
(163, 163+41, 6202)-Net over F4 — Digital
Digital (163, 204, 6202)-net over F4, using
(163, 163+41, 3573484)-Net in Base 4 — Upper bound on s
There is no (163, 204, 3573485)-net in base 4, because
- 1 times m-reduction [i] would yield (163, 203, 3573485)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 165 264297 523262 008961 843901 812573 452788 894982 859949 728185 978699 349199 751256 153344 733651 614654 687451 879947 241944 788162 995914 > 4203 [i]