Best Known (11, 11+9, s)-Nets in Base 9
(11, 11+9, 200)-Net over F9 — Constructive and digital
Digital (11, 20, 200)-net over F9, using
- trace code for nets [i] based on digital (1, 10, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
(11, 11+9, 9430)-Net in Base 9 — Upper bound on s
There is no (11, 20, 9431)-net in base 9, because
- 1 times m-reduction [i] would yield (11, 19, 9431)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 1 351288 296433 903841 > 919 [i]