Best Known (77−38, 77, s)-Nets in Base 2
(77−38, 77, 33)-Net over F2 — Constructive and digital
Digital (39, 77, 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
(77−38, 77, 91)-Net in Base 2 — Upper bound on s
There is no (39, 77, 92)-net in base 2, because
- extracting embedded orthogonal array [i] would yield OA(277, 92, S2, 38), but
- the linear programming bound shows that M ≥ 2818 610548 431507 920827 449344 / 18125 > 277 [i]