Best Known (5, 5+13, s)-Nets in Base 9
(5, 5+13, 32)-Net over F9 — Constructive and digital
Digital (5, 18, 32)-net over F9, using
- net from sequence [i] based on digital (5, 31)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using
(5, 5+13, 185)-Net in Base 9 — Upper bound on s
There is no (5, 18, 186)-net in base 9, because
- 1 times m-reduction [i] would yield (5, 17, 186)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 16717 236381 733665 > 917 [i]