Best Known (142, 142+50, s)-Nets in Base 2
(142, 142+50, 195)-Net over F2 — Constructive and digital
Digital (142, 192, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 64, 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
(142, 142+50, 243)-Net over F2 — Digital
Digital (142, 192, 243)-net over F2, using
(142, 142+50, 2050)-Net in Base 2 — Upper bound on s
There is no (142, 192, 2051)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 6325 189745 134956 234704 551173 288251 750642 512878 522460 376064 > 2192 [i]