Best Known (146, 146+106, s)-Nets in Base 2
(146, 146+106, 75)-Net over F2 — Constructive and digital
Digital (146, 252, 75)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (39, 92, 33)-net over F2, using
- net from sequence [i] based on digital (39, 32)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- net from sequence [i] based on digital (39, 32)-sequence over F2, using
- digital (54, 160, 42)-net over F2, using
- net from sequence [i] based on digital (54, 41)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- net from sequence [i] based on digital (54, 41)-sequence over F2, using
- digital (39, 92, 33)-net over F2, using
(146, 146+106, 100)-Net over F2 — Digital
Digital (146, 252, 100)-net over F2, using
(146, 146+106, 481)-Net in Base 2 — Upper bound on s
There is no (146, 252, 482)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 7373 113925 666381 312625 755321 863924 354216 943724 936603 874060 116445 676219 843440 > 2252 [i]