Best Known (150, 150+54, s)-Nets in Base 2
(150, 150+54, 195)-Net over F2 — Constructive and digital
Digital (150, 204, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 68, 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
(150, 150+54, 245)-Net over F2 — Digital
Digital (150, 204, 245)-net over F2, using
(150, 150+54, 2015)-Net in Base 2 — Upper bound on s
There is no (150, 204, 2016)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 25 860232 912080 788276 377110 682926 284292 536124 635021 925958 789483 > 2204 [i]