Best Known (25−16, 25, s)-Nets in Base 2
(25−16, 25, 12)-Net over F2 — Constructive and digital
Digital (9, 25, 12)-net over F2, using
- net from sequence [i] based on digital (9, 11)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 9 and N(F) ≥ 12, using
- Niederreiter–Xing sequence (Piršić implementation) with equidistant coordinate [i]
(25−16, 25, 19)-Net in Base 2 — Upper bound on s
There is no (9, 25, 20)-net in base 2, because
- extracting embedded OOA [i] would yield OOA(225, 20, S2, 2, 16), but
- the linear programming bound for OOAs shows that M ≥ 207836 151808 / 5621 > 225 [i]