Best Known (92−57, 92, s)-Nets in Base 2
(92−57, 92, 24)-Net over F2 — Constructive and digital
Digital (35, 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
(92−57, 92, 29)-Net over F2 — Digital
Digital (35, 92, 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
(92−57, 92, 72)-Net in Base 2 — Upper bound on s
There is no (35, 92, 73)-net in base 2, because
- 1 times m-reduction [i] would yield (35, 91, 73)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 3185 474341 569307 874574 479792 > 291 [i]