Best Known (86−28, 86, s)-Nets in Base 9
(86−28, 86, 448)-Net over F9 — Constructive and digital
Digital (58, 86, 448)-net over F9, using
- 4 times m-reduction [i] based on digital (58, 90, 448)-net over F9, using
- trace code for nets [i] based on digital (13, 45, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- trace code for nets [i] based on digital (13, 45, 224)-net over F81, using
(86−28, 86, 1509)-Net over F9 — Digital
Digital (58, 86, 1509)-net over F9, using
(86−28, 86, 549713)-Net in Base 9 — Upper bound on s
There is no (58, 86, 549714)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 11610 686017 169580 570174 564496 335267 098249 070267 547870 861295 403325 662628 988728 241697 > 986 [i]