Best Known (161, 161+47, s)-Nets in Base 4
(161, 161+47, 1048)-Net over F4 — Constructive and digital
Digital (161, 208, 1048)-net over F4, using
- trace code for nets [i] based on digital (5, 52, 262)-net over F256, using
- net from sequence [i] based on digital (5, 261)-sequence over F256, using
(161, 161+47, 3188)-Net over F4 — Digital
Digital (161, 208, 3188)-net over F4, using
(161, 161+47, 823882)-Net in Base 4 — Upper bound on s
There is no (161, 208, 823883)-net in base 4, because
- 1 times m-reduction [i] would yield (161, 207, 823883)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 42308 555716 399240 250501 630778 808497 810662 996410 174208 556368 387577 970821 854830 332276 930639 525961 537092 544299 027972 794279 495680 > 4207 [i]