MinT - Best Known (9, 9+58, s)-Nets in Base 25

Best Known (9, 9+58, s)-Nets in Base 25

(9, 9+58, 104)-Net over F₂₅ — Constructive and digital

Digital (9, 67, 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+58, 810)-Net in Base 25 — Upper bound on s

There is no (9, 67, 811)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 4722 995478 949087 170515 897960 905212 759372 711840 301193 665495 813492 914164 953439 188355 087927 881705 > 25⁶⁷ [i]