Best Known (25−21, 25, s)-Nets in Base 16
(25−21, 25, 45)-Net over F16 — Constructive and digital
Digital (4, 25, 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
(25−21, 25, 229)-Net in Base 16 — Upper bound on s
There is no (4, 25, 230)-net in base 16, because
- 1 times m-reduction [i] would yield (4, 24, 230)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 82098 462385 539373 739645 886376 > 1624 [i]