Best Known (19, 19+82, s)-Nets in Base 25
(19, 19+82, 148)-Net over F25 — Constructive and digital
Digital (19, 101, 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+82, 162)-Net over F25 — Digital
Digital (19, 101, 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+82, 1846)-Net in Base 25 — Upper bound on s
There is no (19, 101, 1847)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1573 610784 806197 105116 183901 609783 565550 337434 319588 233267 089921 457699 837469 930709 953971 190951 358291 820626 475939 016871 621647 615320 754139 131753 > 25101 [i]