Best Known (70−22, 70, s)-Nets in Base 9
(70−22, 70, 448)-Net over F9 — Constructive and digital
Digital (48, 70, 448)-net over F9, using
- trace code for nets [i] based on digital (13, 35, 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
(70−22, 70, 1656)-Net over F9 — Digital
Digital (48, 70, 1656)-net over F9, using
(70−22, 70, 725057)-Net in Base 9 — Upper bound on s
There is no (48, 70, 725058)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 6 265797 831918 707176 653361 594584 916607 982507 421358 113449 097349 570545 > 970 [i]