Best Known (105−86, 105, s)-Nets in Base 25
(105−86, 105, 148)-Net over F25 — Constructive and digital
Digital (19, 105, 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
(105−86, 105, 162)-Net over F25 — Digital
Digital (19, 105, 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
(105−86, 105, 1800)-Net in Base 25 — Upper bound on s
There is no (19, 105, 1801)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 615 489805 950140 113060 539880 804217 519865 676387 210733 114451 881628 551099 461623 173021 892088 891536 069799 852931 171842 967330 625838 961897 726931 057702 889225 > 25105 [i]