Best Known (86, 147, s)-Nets in Base 9
(86, 147, 344)-Net over F9 — Constructive and digital
Digital (86, 147, 344)-net over F9, using
- t-expansion [i] based on digital (82, 147, 344)-net over F9, using
- 3 times m-reduction [i] based on digital (82, 150, 344)-net over F9, using
- trace code for nets [i] based on digital (7, 75, 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, 75, 172)-net over F81, using
- 3 times m-reduction [i] based on digital (82, 150, 344)-net over F9, using
(86, 147, 626)-Net over F9 — Digital
Digital (86, 147, 626)-net over F9, using
(86, 147, 66307)-Net in Base 9 — Upper bound on s
There is no (86, 147, 66308)-net in base 9, because
- 1 times m-reduction [i] would yield (86, 146, 66308)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 20 873849 561000 577523 605797 364250 129255 319641 798951 858780 180347 431516 474842 466738 516554 040987 454133 812603 874439 370412 737186 274800 259832 349505 > 9146 [i]