MinT - Best Known (22, 50, s)-Nets in Base 25

Best Known (22, 50, s)-Nets in Base 25

(22, 50, 148)-Net over F₂₅ — Constructive and digital

Digital (22, 50, 148)-net over F₂₅, using

t-expansion [i] based on digital (19, 50, 148)-net over F₂₅, using
- net from sequence [i] based on digital (19, 147)-sequence over F₂₅, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148, using
    - a function field by GarcÃa and Quoos [i]

(22, 50, 179)-Net over F₂₅ — Digital

Digital (22, 50, 179)-net over F₂₅, using

Gilbertâ€“VarÅ¡amov bound [i]

(22, 50, 24760)-Net in Base 25 — Upper bound on s

There is no (22, 50, 24761)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 7889 373466 589941 714974 375001 359894 018432 761997 780368 216632 625073 876625 > 25⁵⁰ [i]