Best Known (62, 144, s)-Nets in Base 9
(62, 144, 104)-Net over F9 — Constructive and digital
Digital (62, 144, 104)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (8, 49, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- digital (13, 95, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- digital (8, 49, 40)-net over F9, using
(62, 144, 192)-Net over F9 — Digital
Digital (62, 144, 192)-net over F9, using
- t-expansion [i] based on digital (61, 144, 192)-net over F9, using
- net from sequence [i] based on digital (61, 191)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 61 and N(F) ≥ 192, using
- net from sequence [i] based on digital (61, 191)-sequence over F9, using
(62, 144, 4507)-Net in Base 9 — Upper bound on s
There is no (62, 144, 4508)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 259660 451711 556432 593328 421818 053045 717889 664555 377114 501274 326457 765287 109317 363625 650443 717659 277312 769736 944760 027862 164308 809344 462305 > 9144 [i]