Best Known (6, 6+11, s)-Nets in Base 9
(6, 6+11, 34)-Net over F9 — Constructive and digital
Digital (6, 17, 34)-net over F9, using
- net from sequence [i] based on digital (6, 33)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
(6, 6+11, 35)-Net over F9 — Digital
Digital (6, 17, 35)-net over F9, using
- net from sequence [i] based on digital (6, 34)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 35, using
(6, 6+11, 365)-Net in Base 9 — Upper bound on s
There is no (6, 17, 366)-net in base 9, because
- 1 times m-reduction [i] would yield (6, 16, 366)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 1858 464368 596913 > 916 [i]