Best Known (18−13, 18, s)-Nets in Base 16
(18−13, 18, 49)-Net over F16 — Constructive and digital
Digital (5, 18, 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
(18−13, 18, 512)-Net in Base 16 — Upper bound on s
There is no (5, 18, 513)-net in base 16, because
- 1 times m-reduction [i] would yield (5, 17, 513)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 298 252116 508015 703296 > 1617 [i]