Best Known (3, 29, s)-Nets in Base 16
(3, 29, 38)-Net over F16 — Constructive and digital
Digital (3, 29, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
(3, 29, 172)-Net in Base 16 — Upper bound on s
There is no (3, 29, 173)-net in base 16, because
- 4 times m-reduction [i] would yield (3, 25, 173)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 1 284656 257854 408628 443222 237796 > 1625 [i]