Best Known (19, 19+52, s)-Nets in Base 25
(19, 19+52, 148)-Net over F25 — Constructive and digital
Digital (19, 71, 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
(19, 19+52, 162)-Net over F25 — Digital
Digital (19, 71, 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
(19, 19+52, 2874)-Net in Base 25 — Upper bound on s
There is no (19, 71, 2875)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1809 770867 138039 823480 343098 769861 779765 984770 398944 553064 319309 365788 380295 655592 688835 390022 215761 > 2571 [i]