MinT - Best Known (26, 26+14, s)-Nets in Base 3

Best Known (26, 26+14, s)-Nets in Base 3

(26, 26+14, 68)-Net over F₃ — Constructive and digital

Digital (26, 40, 68)-net over F₃, using

trace code for nets [i] based on digital (6, 20, 34)-net over F₉, using
- net from sequence [i] based on digital (6, 33)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 6 and N(F) ≥ 34, using
    - a function field by SÃ©mirat [i]

(26, 26+14, 85)-Net over F₃ — Digital

Digital (26, 40, 85)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(26, 26+14, 893)-Net in Base 3 — Upper bound on s

There is no (26, 40, 894)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 12 192678 542893 318713 > 3⁴⁰ [i]