MinT - Best Known (60, 112, s)-Nets in Base 5

Best Known (60, 112, s)-Nets in Base 5

(60, 112, 132)-Net over F₅ — Constructive and digital

Digital (60, 112, 132)-net over F₅, using

trace code for nets [i] based on digital (4, 56, 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]

(60, 112, 147)-Net over F₅ — Digital

Digital (60, 112, 147)-net over F₅, using

Gilbertâ€“VarÅ¡amov bound [i]

(60, 112, 2686)-Net in Base 5 — Upper bound on s

There is no (60, 112, 2687)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 1 942066 268482 481326 285155 485849 388311 707759 795744 955953 177485 274764 240738 508697 > 5¹¹² [i]