Best Known (131, 131+41, s)-Nets in Base 4
(131, 131+41, 1036)-Net over F4 — Constructive and digital
Digital (131, 172, 1036)-net over F4, using
- trace code for nets [i] based on digital (2, 43, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
(131, 131+41, 2059)-Net over F4 — Digital
Digital (131, 172, 2059)-net over F4, using
(131, 131+41, 388847)-Net in Base 4 — Upper bound on s
There is no (131, 172, 388848)-net in base 4, because
- 1 times m-reduction [i] would yield (131, 171, 388848)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 8 958988 476183 004392 199895 105641 004017 237072 767137 745297 308620 228806 225517 535522 061668 994875 887507 868446 > 4171 [i]