Best Known (8, 8+14, s)-Nets in Base 2
(8, 8+14, 11)-Net over F2 — Constructive and digital
Digital (8, 22, 11)-net over F2, using
- net from sequence [i] based on digital (8, 10)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 8 and N(F) ≥ 11, using
- Niederreiter–Xing sequence (Piršić implementation) with equidistant coordinate [i]
(8, 8+14, 18)-Net in Base 2 — Upper bound on s
There is no (8, 22, 19)-net in base 2, because
- extracting embedded OOA [i] would yield OOA(222, 19, S2, 2, 14), but
- the linear programming bound for OOAs shows that M ≥ 9683 599360 / 2107 > 222 [i]