Best Known (19, 19+58, s)-Nets in Base 25
(19, 19+58, 148)-Net over F25 — Constructive and digital
Digital (19, 77, 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+58, 162)-Net over F25 — Digital
Digital (19, 77, 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+58, 2489)-Net in Base 25 — Upper bound on s
There is no (19, 77, 2490)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 442540 792076 577982 640478 116231 377020 151625 402330 522089 324545 327609 024422 897640 555817 948562 495037 310179 919921 > 2577 [i]