Best Known (30−14, 30, s)-Nets in Base 9
(30−14, 30, 200)-Net over F9 — Constructive and digital
Digital (16, 30, 200)-net over F9, using
- trace code for nets [i] based on digital (1, 15, 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
(30−14, 30, 5189)-Net in Base 9 — Upper bound on s
There is no (16, 30, 5190)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 42426 701433 193619 424838 964625 > 930 [i]