Best Known (20, 42, s)-Nets in Base 9
(20, 42, 74)-Net over F9 — Constructive and digital
Digital (20, 42, 74)-net over F9, using
- t-expansion [i] based on digital (17, 42, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(20, 42, 76)-Net in Base 9 — Constructive
(20, 42, 76)-net in base 9, using
- base change [i] based on digital (6, 28, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
(20, 42, 86)-Net over F9 — Digital
Digital (20, 42, 86)-net over F9, using
(20, 42, 2693)-Net in Base 9 — Upper bound on s
There is no (20, 42, 2694)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 11980 933794 843241 459809 068069 518138 482385 > 942 [i]