Best Known (102−63, 102, s)-Nets in Base 2
(102−63, 102, 33)-Net over F2 — Constructive and digital
Digital (39, 102, 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
(102−63, 102, 79)-Net in Base 2 — Upper bound on s
There is no (39, 102, 80)-net in base 2, because
- 1 times m-reduction [i] would yield (39, 101, 80)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 2 856645 655453 120719 923639 478060 > 2101 [i]