Best Known (75−36, 75, s)-Nets in Base 2
(75−36, 75, 33)-Net over F2 — Constructive and digital
Digital (39, 75, 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
(75−36, 75, 95)-Net in Base 2 — Upper bound on s
There is no (39, 75, 96)-net in base 2, because
- extracting embedded orthogonal array [i] would yield OA(275, 96, S2, 36), but
- the linear programming bound shows that M ≥ 22708 462595 641194 417680 809984 / 528333 > 275 [i]