MinT - Best Known (9, 9+42, s)-Nets in Base 25

Best Known (9, 9+42, s)-Nets in Base 25

(9, 9+42, 104)-Net over F₂₅ — Constructive and digital

Digital (9, 51, 104)-net over F₂₅, using

net from sequence [i] based on digital (9, 103)-sequence over F₂₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 9 and N(F) ≥ 104, using
  - a function field by GarcÃa and Quoos [i]

(9, 9+42, 887)-Net in Base 25 — Upper bound on s

There is no (9, 51, 888)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 201126 103030 314796 435965 055491 457669 859384 424615 736558 160827 111418 831425 > 25⁵¹ [i]