MinT - Best Known (96, 96+52, s)-Nets in Base 5

Best Known (96, 96+52, s)-Nets in Base 5

(96, 96+52, 296)-Net over F₅ — Constructive and digital

Digital (96, 148, 296)-net over F₅, using

t-expansion [i] based on digital (94, 148, 296)-net over F₅, using
- 2 times m-reduction [i] based on digital (94, 150, 296)-net over F₅, using
  - trace code for nets [i] based on digital (19, 75, 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]

(96, 96+52, 523)-Net over F₅ — Digital

Digital (96, 148, 523)-net over F₅, using

Gilbertâ€“VarÅ¡amov bound [i]

(96, 96+52, 25099)-Net in Base 5 — Upper bound on s

There is no (96, 148, 25100)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 28 054299 032080 214712 840783 303915 579006 665417 214948 346460 693950 979504 142405 178127 697065 815298 846056 639297 > 5¹⁴⁸ [i]