Best Known (33−30, 33, s)-Nets in Base 16
(33−30, 33, 38)-Net over F16 — Constructive and digital
Digital (3, 33, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
(33−30, 33, 164)-Net in Base 16 — Upper bound on s
There is no (3, 33, 165)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(1633, 165, S16, 30), but
- the linear programming bound shows that M ≥ 5510 151213 195982 909812 215179 795185 969235 758163 245106 465135 919104 / 1 001889 792151 448962 306579 > 1633 [i]