Best Known (19, 19+74, s)-Nets in Base 25
(19, 19+74, 148)-Net over F25 — Constructive and digital
Digital (19, 93, 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+74, 162)-Net over F25 — Digital
Digital (19, 93, 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+74, 1973)-Net in Base 25 — Upper bound on s
There is no (19, 93, 1974)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 10348 304173 247366 560557 211636 249627 065206 602923 470388 951608 354602 402237 138124 939861 364750 127259 693268 282633 408449 018979 760012 105681 > 2593 [i]