Best Known (150, 150+34, s)-Nets in Base 2
(150, 150+34, 270)-Net over F2 — Constructive and digital
Digital (150, 184, 270)-net over F2, using
- 21 times duplication [i] based on digital (149, 183, 270)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (6, 23, 10)-net over F2, using
- net from sequence [i] based on digital (6, 9)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, using
- Niederreiter–Xing sequence (Piršić implementation) with equidistant coordinate [i]
- net from sequence [i] based on digital (6, 9)-sequence over F2, using
- digital (126, 160, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 40, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 40, 65)-net over F16, using
- digital (6, 23, 10)-net over F2, using
- (u, u+v)-construction [i] based on
(150, 150+34, 633)-Net over F2 — Digital
Digital (150, 184, 633)-net over F2, using
(150, 150+34, 12981)-Net in Base 2 — Upper bound on s
There is no (150, 184, 12982)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 24 543160 589108 610691 539298 938306 338344 520888 691907 808765 > 2184 [i]