Best Known (9, 24, s)-Nets in Base 2
(9, 24, 12)-Net over F2 — Constructive and digital
Digital (9, 24, 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]
(9, 24, 20)-Net in Base 2 — Upper bound on s
There is no (9, 24, 21)-net in base 2, because
- extracting embedded OOA [i] would yield OOA(224, 21, S2, 2, 15), but
- the linear programming bound for OOAs shows that M ≥ 62044 241920 / 3253 > 224 [i]