MinT - Best Known (41, 41+52, s)-Nets in Base 25

Best Known (41, 41+52, s)-Nets in Base 25

(41, 41+52, 288)-Net over F₂₅ — Constructive and digital

Digital (41, 93, 288)-net over F₂₅, using

net from sequence [i] based on digital (41, 287)-sequence over F₂₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 41 and N(F) ≥ 288, using
  - a function field by GarcÃa and Quoos [i]

(41, 41+52, 43981)-Net in Base 25 — Upper bound on s

There is no (41, 93, 43982)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 10197 861286 550331 077732 192629 185620 516466 934643 269774 256104 263465 333395 885571 560981 024572 169086 169884 546295 908443 343444 850686 225249 > 25⁹³ [i]