Best Known (31−22, 31, s)-Nets in Base 9
(31−22, 31, 40)-Net over F9 — Constructive and digital
Digital (9, 31, 40)-net over F9, using
- t-expansion [i] based on digital (8, 31, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(31−22, 31, 48)-Net over F9 — Digital
Digital (9, 31, 48)-net over F9, using
- net from sequence [i] based on digital (9, 47)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 9 and N(F) ≥ 48, using
(31−22, 31, 293)-Net in Base 9 — Upper bound on s
There is no (9, 31, 294)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 385892 545231 794186 116873 667025 > 931 [i]