Best Known (38−18, 38, s)-Nets in Base 9
(38−18, 38, 200)-Net over F9 — Constructive and digital
Digital (20, 38, 200)-net over F9, using
- trace code for nets [i] based on digital (1, 19, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
(38−18, 38, 5537)-Net in Base 9 — Upper bound on s
There is no (20, 38, 5538)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 1 827417 722953 933851 024199 544665 456785 > 938 [i]