Best Known (35, 35+50, s)-Nets in Base 2
(35, 35+50, 24)-Net over F2 — Constructive and digital
Digital (35, 85, 24)-net over F2, using
- t-expansion [i] based on digital (33, 85, 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
(35, 35+50, 29)-Net over F2 — Digital
Digital (35, 85, 29)-net over F2, using
- net from sequence [i] based on digital (35, 28)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 35 and N(F) ≥ 29, using
(35, 35+50, 75)-Net in Base 2 — Upper bound on s
There is no (35, 85, 76)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 45 221132 426486 961237 980260 > 285 [i]