MinT - Best Known (92−26, 92, s)-Nets in Base 5

Best Known (92−26, 92, s)-Nets in Base 5

(92−26, 92, 296)-Net over F₅ — Constructive and digital

Digital (66, 92, 296)-net over F₅, using

2 times m-reduction [i] based on digital (66, 94, 296)-net over F₅, using
- trace code for nets [i] based on digital (19, 47, 148)-net over F₂₅, using
  - net from sequence [i] based on digital (19, 147)-sequence over F₂₅, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148, using
      - a function field by GarcÃa and Quoos [i]

(92−26, 92, 962)-Net over F₅ — Digital

Digital (66, 92, 962)-net over F₅, using

Gilbertâ€“VarÅ¡amov bound [i]

(92−26, 92, 125276)-Net in Base 5 — Upper bound on s

There is no (66, 92, 125277)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 20195 001712 705084 611186 474064 803774 602938 649472 453784 855324 011525 > 5⁹² [i]