Best Known (39−30, 39, s)-Nets in Base 9
(39−30, 39, 40)-Net over F9 — Constructive and digital
Digital (9, 39, 40)-net over F9, using
- t-expansion [i] based on digital (8, 39, 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
(39−30, 39, 48)-Net over F9 — Digital
Digital (9, 39, 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
(39−30, 39, 234)-Net in Base 9 — Upper bound on s
There is no (9, 39, 235)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 17 169321 740284 850044 311535 443309 423273 > 939 [i]