MinT - Best Known (4, 26, s)-Nets in Base 25

Best Known (4, 26, s)-Nets in Base 25

(4, 26, 66)-Net over F₂₅ — Constructive and digital

Digital (4, 26, 66)-net over F₂₅, using

net from sequence [i] based on digital (4, 65)-sequence over F₂₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
  - a function field by GarcÃa and Quoos [i]

(4, 26, 406)-Net in Base 25 — Upper bound on s

There is no (4, 26, 407)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 2 239452 817372 727020 061427 937570 342585 > 25²⁶ [i]