Best Known (5, 5+11, s)-Nets in Base 16
(5, 5+11, 49)-Net over F16 — Constructive and digital
Digital (5, 16, 49)-net over F16, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
(5, 5+11, 709)-Net in Base 16 — Upper bound on s
There is no (5, 16, 710)-net in base 16, because
- 1 times m-reduction [i] would yield (5, 15, 710)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 1 160604 015011 220751 > 1615 [i]