Best Known (54−36, 54, s)-Nets in Base 9
(54−36, 54, 74)-Net over F9 — Constructive and digital
Digital (18, 54, 74)-net over F9, using
- t-expansion [i] based on digital (17, 54, 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
(54−36, 54, 677)-Net in Base 9 — Upper bound on s
There is no (18, 54, 678)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 3418 335962 064811 089767 672087 033402 240094 950587 516065 > 954 [i]