MinT - Best Known (65, 91, s)-Nets in Base 5

Best Known (65, 91, s)-Nets in Base 5

(65, 91, 296)-Net over F₅ — Constructive and digital

Digital (65, 91, 296)-net over F₅, using

1 times m-reduction [i] based on digital (65, 92, 296)-net over F₅, using
- trace code for nets [i] based on digital (19, 46, 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]

(65, 91, 903)-Net over F₅ — Digital

Digital (65, 91, 903)-net over F₅, using

Gilbertâ€“VarÅ¡amov bound [i]

(65, 91, 110687)-Net in Base 5 — Upper bound on s

There is no (65, 91, 110688)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 4039 042034 475083 842866 429635 728327 714935 194939 314472 231494 907265 > 5⁹¹ [i]