Best Known (91−32, 91, s)-Nets in Base 9
(91−32, 91, 448)-Net over F9 — Constructive and digital
Digital (59, 91, 448)-net over F9, using
- 1 times m-reduction [i] based on digital (59, 92, 448)-net over F9, using
- trace code for nets [i] based on digital (13, 46, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- trace code for nets [i] based on digital (13, 46, 224)-net over F81, using
(91−32, 91, 997)-Net over F9 — Digital
Digital (59, 91, 997)-net over F9, using
(91−32, 91, 227344)-Net in Base 9 — Upper bound on s
There is no (59, 91, 227345)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 685 609880 075989 381106 224517 363598 710897 314726 613176 640051 899450 479854 244206 412473 046657 > 991 [i]