Best Known (11, 11+16, s)-Nets in Base 9
(11, 11+16, 40)-Net over F9 — Constructive and digital
Digital (11, 27, 40)-net over F9, using
- t-expansion [i] based on digital (8, 27, 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
(11, 11+16, 48)-Net in Base 9 — Constructive
(11, 27, 48)-net in base 9, using
- base change [i] based on digital (2, 18, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
(11, 11+16, 55)-Net over F9 — Digital
Digital (11, 27, 55)-net over F9, using
- net from sequence [i] based on digital (11, 54)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 11 and N(F) ≥ 55, using
(11, 11+16, 777)-Net in Base 9 — Upper bound on s
There is no (11, 27, 778)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 58 483987 512377 724302 205825 > 927 [i]