Best Known (177, 177+47, s)-Nets in Base 4
(177, 177+47, 1064)-Net over F4 — Constructive and digital
Digital (177, 224, 1064)-net over F4, using
- trace code for nets [i] based on digital (9, 56, 266)-net over F256, using
- net from sequence [i] based on digital (9, 265)-sequence over F256, using
(177, 177+47, 5150)-Net over F4 — Digital
Digital (177, 224, 5150)-net over F4, using
(177, 177+47, 2161202)-Net in Base 4 — Upper bound on s
There is no (177, 224, 2161203)-net in base 4, because
- 1 times m-reduction [i] would yield (177, 223, 2161203)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 181 709914 338650 479380 331097 287045 310768 682572 985942 166276 428448 509406 708147 182945 870359 719304 083274 647758 783745 771136 335885 506190 118080 > 4223 [i]