MinT - Best Known (122, 210, s)-Nets in Base 3

Best Known (122, 210, s)-Nets in Base 3

(122, 210, 148)-Net over F₃ — Constructive and digital

Digital (122, 210, 148)-net over F₃, using

trace code for nets [i] based on digital (17, 105, 74)-net over F₉, using
- net from sequence [i] based on digital (17, 73)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
    - a function field by GarcÃa and Quoos [i]

(122, 210, 171)-Net over F₃ — Digital

Digital (122, 210, 171)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(122, 210, 1590)-Net in Base 3 — Upper bound on s

There is no (122, 210, 1591)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 15998 820725 209402 238616 736192 587074 383020 697542 844033 035157 319402 974325 015138 266896 515043 293593 377705 > 3²¹⁰ [i]