Best Known (20−16, 20, s)-Nets in Base 16
(20−16, 20, 45)-Net over F16 — Constructive and digital
Digital (4, 20, 45)-net over F16, using
- net from sequence [i] based on digital (4, 44)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
(20−16, 20, 252)-Net in Base 16 — Upper bound on s
There is no (4, 20, 253)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 1 210272 781828 985733 870661 > 1620 [i]