Best Known (7, 7+19, s)-Nets in Base 2
(7, 7+19, 10)-Net over F2 — Constructive and digital
Digital (7, 26, 10)-net over F2, using
- t-expansion [i] based on digital (6, 26, 10)-net over F2, using
- net from sequence [i] based on digital (6, 9)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, using
- Niederreiter–Xing sequence (Piršić implementation) with equidistant coordinate [i]
- net from sequence [i] based on digital (6, 9)-sequence over F2, using
(7, 7+19, 13)-Net in Base 2 — Upper bound on s
There is no (7, 26, 14)-net in base 2, because
- extracting embedded OOA [i] would yield OOA(226, 14, S2, 3, 19), but
- the linear programming bound for OOAs shows that M ≥ 10 025795 846144 / 143945 > 226 [i]