MinT - Best Known (60, 94, s)-Nets in Base 3

Best Known (60, 94, s)-Nets in Base 3

(60, 94, 128)-Net over F₃ — Constructive and digital

Digital (60, 94, 128)-net over F₃, using

trace code for nets [i] based on digital (13, 47, 64)-net over F₉, using
- net from sequence [i] based on digital (13, 63)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, using
    - a function field by GarcÃa and Quoos [i]

(60, 94, 135)-Net over F₃ — Digital

Digital (60, 94, 135)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(60, 94, 1543)-Net in Base 3 — Upper bound on s

There is no (60, 94, 1544)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 710 529087 388876 789217 210933 618282 283912 072465 > 3⁹⁴ [i]