MinT - Best Known (108−80, 108, s)-Nets in Base 25

Best Known (108−80, 108, s)-Nets in Base 25

(108−80, 108, 200)-Net over F₂₅ — Constructive and digital

Digital (28, 108, 200)-net over F₂₅, using

t-expansion [i] based on digital (25, 108, 200)-net over F₂₅, using
- net from sequence [i] based on digital (25, 199)-sequence over F₂₅, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200, using
    - a function field by GarcÃa and Quoos [i]

(108−80, 108, 3887)-Net in Base 25 — Upper bound on s

There is no (28, 108, 3888)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 9 551201 051767 635703 437305 083044 731966 669350 053950 051157 977467 434117 879874 180751 322936 317242 571737 092051 402547 126248 200728 264805 393262 809474 081953 741825 > 25¹⁰⁸ [i]