MinT - Best Known (9, 9+60, s)-Nets in Base 25

Best Known (9, 9+60, s)-Nets in Base 25

(9, 9+60, 104)-Net over F₂₅ — Constructive and digital

Digital (9, 69, 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+60, 808)-Net in Base 25 — Upper bound on s

There is no (9, 69, 809)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 2 959865 765528 474082 988966 206779 440776 987220 679284 239761 605274 732045 127028 978776 701830 254631 996177 > 25⁶⁹ [i]