Best Known (3, 10, s)-Nets in Base 2
(3, 10, 7)-Net over F2 — Constructive and digital
Digital (3, 10, 7)-net over F2, using
- net from sequence [i] based on digital (3, 6)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, using
- Niederreiter–Xing sequence (Piršić implementation) with equidistant coordinate [i]
(3, 10, 9)-Net in Base 2 — Upper bound on s
There is no (3, 10, 10)-net in base 2, because
- extracting embedded OOA [i] would yield OOA(210, 10, S2, 3, 7), but
- the linear programming bound for OOAs shows that M ≥ 5577 171968 / 5 159045 > 210 [i]