MinT - Best Known (110−64, 110, s)-Nets in Base 25

Best Known (110−64, 110, s)-Nets in Base 25

(110−64, 110, 288)-Net over F₂₅ — Constructive and digital

Digital (46, 110, 288)-net over F₂₅, using

t-expansion [i] based on digital (41, 110, 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]

(110−64, 110, 34030)-Net in Base 25 — Upper bound on s

There is no (46, 110, 34031)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 5935 408179 671704 735153 347296 973196 099235 492782 565059 303975 408869 914129 681648 497445 393066 867796 450332 558138 870760 964301 671332 619778 715184 140590 410353 978625 > 25¹¹⁰ [i]