Best Known (255−118, 255, s)-Nets in Base 2
(255−118, 255, 66)-Net over F2 — Constructive and digital
Digital (137, 255, 66)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (39, 98, 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 (39, 157, 33)-net over F2, using
- net from sequence [i] based on digital (39, 32)-sequence over F2 (see above)
- digital (39, 98, 33)-net over F2, using
(255−118, 255, 81)-Net over F2 — Digital
Digital (137, 255, 81)-net over F2, using
- t-expansion [i] based on digital (126, 255, 81)-net over F2, using
- net from sequence [i] based on digital (126, 80)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 126 and N(F) ≥ 81, using
- net from sequence [i] based on digital (126, 80)-sequence over F2, using
(255−118, 255, 375)-Net in Base 2 — Upper bound on s
There is no (137, 255, 376)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 61908 458503 391258 013587 687493 885536 175038 482211 604401 640691 401300 043653 140168 > 2255 [i]