Best Known (22, 42, s)-Nets in Base 9
(22, 42, 200)-Net over F9 — Constructive and digital
Digital (22, 42, 200)-net over F9, using
- trace code for nets [i] based on digital (1, 21, 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
(22, 42, 5757)-Net in Base 9 — Upper bound on s
There is no (22, 42, 5758)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 11972 554516 542797 649330 484769 125018 591905 > 942 [i]