Best Known (12, 26, s)-Nets in Base 9
(12, 26, 48)-Net over F9 — Constructive and digital
Digital (12, 26, 48)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (2, 9, 20)-net over F9, using
- net from sequence [i] based on digital (2, 19)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- net from sequence [i] based on digital (2, 19)-sequence over F9, using
- digital (3, 17, 28)-net over F9, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- digital (2, 9, 20)-net over F9, using
(12, 26, 52)-Net in Base 9 — Constructive
(12, 26, 52)-net in base 9, using
- 1 times m-reduction [i] based on (12, 27, 52)-net in base 9, using
- base change [i] based on digital (3, 18, 52)-net over F27, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
- base change [i] based on digital (3, 18, 52)-net over F27, using
(12, 26, 60)-Net over F9 — Digital
Digital (12, 26, 60)-net over F9, using
(12, 26, 1475)-Net in Base 9 — Upper bound on s
There is no (12, 26, 1476)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 6 467966 138585 758626 469729 > 926 [i]