Best Known (5, 15, s)-Nets in Base 2
(5, 15, 9)-Net over F2 — Constructive and digital
Digital (5, 15, 9)-net over F2, using
- net from sequence [i] based on digital (5, 8)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 5 and N(F) ≥ 9, using
- Niederreiter–Xing sequence (Piršić implementation) with equidistant coordinate [i]
(5, 15, 12)-Net in Base 2 — Upper bound on s
There is no (5, 15, 13)-net in base 2, because
- extracting embedded OOA [i] would yield OOA(215, 13, S2, 3, 10), but
- the linear programming bound for OOAs shows that M ≥ 35 323904 / 1041 > 215 [i]