Best Known (44, 74, s)-Nets in Base 2
(44, 74, 42)-Net over F2 — Constructive and digital
Digital (44, 74, 42)-net over F2, using
- trace code for nets [i] based on digital (7, 37, 21)-net over F4, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
(44, 74, 175)-Net in Base 2 — Upper bound on s
There is no (44, 74, 176)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 19899 713476 865240 512203 > 274 [i]