Best Known (17−13, 17, s)-Nets in Base 9
(17−13, 17, 30)-Net over F9 — Constructive and digital
Digital (4, 17, 30)-net over F9, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
(17−13, 17, 127)-Net in Base 9 — Upper bound on s
There is no (4, 17, 128)-net in base 9, because
- 1 times m-reduction [i] would yield (4, 16, 128)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 1858 948901 832705 > 916 [i]