Best Known (92−56, 92, s)-Nets in Base 2
(92−56, 92, 24)-Net over F2 — Constructive and digital
Digital (36, 92, 24)-net over F2, using
- t-expansion [i] based on digital (33, 92, 24)-net over F2, using
- net from sequence [i] based on digital (33, 23)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 33 and N(F) ≥ 24, using
- net from sequence [i] based on digital (33, 23)-sequence over F2, using
(92−56, 92, 30)-Net over F2 — Digital
Digital (36, 92, 30)-net over F2, using
- net from sequence [i] based on digital (36, 29)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 36 and N(F) ≥ 30, using
(92−56, 92, 74)-Net in Base 2 — Upper bound on s
There is no (36, 92, 75)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 5446 152644 433967 877777 150704 > 292 [i]