Best Known (4, 4+14, s)-Nets in Base 16
(4, 4+14, 45)-Net over F16 — Constructive and digital
Digital (4, 18, 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
(4, 4+14, 277)-Net in Base 16 — Upper bound on s
There is no (4, 18, 278)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 4743 112090 195008 569416 > 1618 [i]