Best Known (5, 5+29, s)-Nets in Base 16
(5, 5+29, 49)-Net over F16 — Constructive and digital
Digital (5, 34, 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+29, 270)-Net in Base 16 — Upper bound on s
There is no (5, 34, 271)-net in base 16, because
- 1 times m-reduction [i] would yield (5, 33, 271)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 5621 205623 597879 060519 073413 361558 485761 > 1633 [i]