Best Known (54, 94, s)-Nets in Base 9
(54, 94, 344)-Net over F9 — Constructive and digital
Digital (54, 94, 344)-net over F9, using
- trace code for nets [i] based on digital (7, 47, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
(54, 94, 388)-Net over F9 — Digital
Digital (54, 94, 388)-net over F9, using
(54, 94, 31695)-Net in Base 9 — Upper bound on s
There is no (54, 94, 31696)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 500094 109347 586072 650775 322319 250567 010533 950201 227419 323893 270006 218888 560145 572852 231681 > 994 [i]