MinT - Best Known (9, 9+62, s)-Nets in Base 25

Best Known (9, 9+62, s)-Nets in Base 25

(9, 9+62, 104)-Net over F₂₅ — Constructive and digital

Digital (9, 71, 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+62, 807)-Net in Base 25 — Upper bound on s

There is no (9, 71, 808)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 1857 151188 621818 475954 633474 650931 407271 119678 479585 604034 478055 025791 410083 144330 332060 299445 494081 > 25⁷¹ [i]