Best Known (73−54, 73, s)-Nets in Base 25
(73−54, 73, 148)-Net over F25 — Constructive and digital
Digital (19, 73, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
(73−54, 73, 162)-Net over F25 — Digital
Digital (19, 73, 162)-net over F25, using
- net from sequence [i] based on digital (19, 161)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 162, using
(73−54, 73, 2726)-Net in Base 25 — Upper bound on s
There is no (19, 73, 2727)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1 129089 568410 671265 922660 589495 944099 902730 288861 912676 326409 696479 860020 961401 941690 751349 859845 866425 > 2573 [i]