Best Known (41, 41+53, s)-Nets in Base 25
(41, 41+53, 288)-Net over F25 — Constructive and digital
Digital (41, 94, 288)-net over F25, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
(41, 41+53, 43981)-Net in Base 25 — Upper bound on s
There is no (41, 94, 43982)-net in base 25, because
- 1 times m-reduction [i] would yield (41, 93, 43982)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 10197 861286 550331 077732 192629 185620 516466 934643 269774 256104 263465 333395 885571 560981 024572 169086 169884 546295 908443 343444 850686 225249 > 2593 [i]