Best Known (50−38, 50, s)-Nets in Base 9
(50−38, 50, 40)-Net over F9 — Constructive and digital
Digital (12, 50, 40)-net over F9, using
- t-expansion [i] based on digital (8, 50, 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
(50−38, 50, 56)-Net over F9 — Digital
Digital (12, 50, 56)-net over F9, using
- net from sequence [i] based on digital (12, 55)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 12 and N(F) ≥ 56, using
(50−38, 50, 310)-Net in Base 9 — Upper bound on s
There is no (12, 50, 311)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 536314 621357 792185 818444 831563 858312 478172 797865 > 950 [i]