MinT - Best Known (95−28, 95, s)-Nets in Base 5

Best Known (95−28, 95, s)-Nets in Base 5

(95−28, 95, 296)-Net over F₅ — Constructive and digital

Digital (67, 95, 296)-net over F₅, using

1 times m-reduction [i] based on digital (67, 96, 296)-net over F₅, using
- trace code for nets [i] based on digital (19, 48, 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]

(95−28, 95, 800)-Net over F₅ — Digital

Digital (67, 95, 800)-net over F₅, using

Gilbertâ€“VarÅ¡amov bound [i]

(95−28, 95, 83628)-Net in Base 5 — Upper bound on s

There is no (67, 95, 83629)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 2 524382 369665 216242 821279 371703 126777 559229 291404 490013 372863 883625 > 5⁹⁵ [i]