Best Known (192−47, 192, s)-Nets in Base 4
(192−47, 192, 1032)-Net over F4 — Constructive and digital
Digital (145, 192, 1032)-net over F4, using
- trace code for nets [i] based on digital (1, 48, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
(192−47, 192, 1977)-Net over F4 — Digital
Digital (145, 192, 1977)-net over F4, using
(192−47, 192, 314068)-Net in Base 4 — Upper bound on s
There is no (145, 192, 314069)-net in base 4, because
- 1 times m-reduction [i] would yield (145, 191, 314069)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 9 850646 414887 908971 487049 970593 845618 282761 846393 594329 263399 412183 365521 463465 969406 740872 262585 732962 314733 123968 > 4191 [i]