Best Known (2, 2+9, s)-Nets in Base 9
(2, 2+9, 20)-Net over F9 — Constructive and digital
Digital (2, 11, 20)-net over F9, using
- net from sequence [i] based on digital (2, 19)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
(2, 2+9, 65)-Net in Base 9 — Upper bound on s
There is no (2, 11, 66)-net in base 9, because
- 1 times m-reduction [i] would yield (2, 10, 66)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 3644 484801 > 910 [i]