Best Known (26−15, 26, s)-Nets in Base 2
(26−15, 26, 14)-Net over F2 — Constructive and digital
Digital (11, 26, 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]
(26−15, 26, 26)-Net in Base 2 — Upper bound on s
There is no (11, 26, 27)-net in base 2, because
- extracting embedded OOA [i] would yield OOA(226, 27, S2, 2, 15), but
- the linear programming bound for OOAs shows that M ≥ 2 239283 432828 960768 / 29552 794999 > 226 [i]