Best Known (210−56, 210, s)-Nets in Base 2
(210−56, 210, 195)-Net over F2 — Constructive and digital
Digital (154, 210, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 70, 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
(210−56, 210, 247)-Net over F2 — Digital
Digital (154, 210, 247)-net over F2, using
(210−56, 210, 2004)-Net in Base 2 — Upper bound on s
There is no (154, 210, 2005)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1666 959690 098565 030919 217468 549815 255182 902740 249711 121628 219752 > 2210 [i]