Best Known (11, 30, s)-Nets in Base 2
(11, 30, 14)-Net over F2 — Constructive and digital
Digital (11, 30, 14)-net over F2, using
- net from sequence [i] based on digital (11, 13)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, using
- Niederreiter–Xing sequence (Piršić implementation) with equidistant coordinate [i]
(11, 30, 22)-Net in Base 2 — Upper bound on s
There is no (11, 30, 23)-net in base 2, because
- extracting embedded OOA [i] would yield OOA(230, 23, S2, 2, 19), but
- the linear programming bound for OOAs shows that M ≥ 6 770210 635776 / 5633 > 230 [i]