Best Known (141, 182, s)-Nets in Base 2
(141, 182, 195)-Net over F2 — Constructive and digital
Digital (141, 182, 195)-net over F2, using
- t-expansion [i] based on digital (140, 182, 195)-net over F2, using
- 7 times m-reduction [i] based on digital (140, 189, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 63, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- trace code for nets [i] based on digital (14, 63, 65)-net over F8, using
- 7 times m-reduction [i] based on digital (140, 189, 195)-net over F2, using
(141, 182, 340)-Net over F2 — Digital
Digital (141, 182, 340)-net over F2, using
(141, 182, 4372)-Net in Base 2 — Upper bound on s
There is no (141, 182, 4373)-net in base 2, because
- 1 times m-reduction [i] would yield (141, 181, 4373)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 3 073870 860594 532966 405011 906706 684302 107345 505645 732401 > 2181 [i]