Best Known (57, 95, s)-Nets in Base 9
(57, 95, 344)-Net over F9 — Constructive and digital
Digital (57, 95, 344)-net over F9, using
- 5 times m-reduction [i] based on digital (57, 100, 344)-net over F9, using
- trace code for nets [i] based on digital (7, 50, 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
- trace code for nets [i] based on digital (7, 50, 172)-net over F81, using
(57, 95, 535)-Net over F9 — Digital
Digital (57, 95, 535)-net over F9, using
(57, 95, 58513)-Net in Base 9 — Upper bound on s
There is no (57, 95, 58514)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 4 499403 425833 926153 479466 372559 972314 770402 826237 329529 293134 700869 041053 133458 588524 780785 > 995 [i]