Best Known (44, 68, s)-Nets in Base 2
(44, 68, 54)-Net over F2 — Constructive and digital
Digital (44, 68, 54)-net over F2, using
- trace code for nets [i] based on digital (10, 34, 27)-net over F4, using
- net from sequence [i] based on digital (10, 26)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- net from sequence [i] based on digital (10, 26)-sequence over F4, using
(44, 68, 251)-Net in Base 2 — Upper bound on s
There is no (44, 68, 252)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 299 761361 620065 180572 > 268 [i]