MinT - Best Known (24, 24+16, s)-Nets in Base 5

Best Known (24, 24+16, s)-Nets in Base 5

(24, 24+16, 132)-Net over F₅ — Constructive and digital

Digital (24, 40, 132)-net over F₅, using

trace code for nets [i] based on digital (4, 20, 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]

(24, 24+16, 2935)-Net in Base 5 — Upper bound on s

There is no (24, 40, 2936)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 9109 733349 389146 077480 223745 > 5⁴⁰ [i]