MinT - Best Known (35, 61, s)-Nets in Base 3

Best Known (35, 61, s)-Nets in Base 3

(35, 61, 60)-Net over F₃ — Constructive and digital

Digital (35, 61, 60)-net over F₃, using

1 times m-reduction [i] based on digital (35, 62, 60)-net over F₃, using
- trace code for nets [i] based on digital (4, 31, 30)-net over F₉, using
  - net from sequence [i] based on digital (4, 29)-sequence over F₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 4 and N(F) ≥ 30, using
      - a function field by SÃ©mirat [i]

(35, 61, 61)-Net over F₃ — Digital

Digital (35, 61, 61)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(35, 61, 478)-Net in Base 3 — Upper bound on s

There is no (35, 61, 479)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 128057 186234 600071 214586 385575 > 3⁶¹ [i]