MinT - Best Known (120, 154, s)-Nets in Base 3

Best Known (120, 154, s)-Nets in Base 3

(120, 154, 600)-Net over F₃ — Constructive and digital

Digital (120, 154, 600)-net over F₃, using

3² times duplication [i] based on digital (118, 152, 600)-net over F₃, using
- trace code for nets [i] based on digital (4, 38, 150)-net over F₈₁, using
  - net from sequence [i] based on digital (4, 149)-sequence over F₈₁, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 4 and N(F) ≥ 150, using
      - a function field by SÃ©mirat [i]

(120, 154, 1125)-Net over F₃ — Digital

Digital (120, 154, 1125)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(120, 154, 75331)-Net in Base 3 — Upper bound on s

There is no (120, 154, 75332)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 29 971580 840095 648082 285012 695168 627887 868521 279245 410859 124098 239047 357321 > 3¹⁵⁴ [i]