Best Known (44, 83, s)-Nets in Base 2
(44, 83, 33)-Net over F2 — Constructive and digital
Digital (44, 83, 33)-net over F2, using
- t-expansion [i] based on digital (39, 83, 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
- net from sequence [i] based on digital (39, 32)-sequence over F2, using
(44, 83, 34)-Net over F2 — Digital
Digital (44, 83, 34)-net over F2, using
- t-expansion [i] based on digital (43, 83, 34)-net over F2, using
- net from sequence [i] based on digital (43, 33)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 43 and N(F) ≥ 34, using
- net from sequence [i] based on digital (43, 33)-sequence over F2, using
(44, 83, 115)-Net in Base 2 — Upper bound on s
There is no (44, 83, 116)-net in base 2, because
- 1 times m-reduction [i] would yield (44, 82, 116)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(282, 116, S2, 38), but
- the linear programming bound shows that M ≥ 1 062617 333342 845814 746138 360785 403904 / 188306 971237 > 282 [i]
- extracting embedded orthogonal array [i] would yield OA(282, 116, S2, 38), but