MinT - Best Known (74, 122, s)-Nets in Base 9

Best Known (74, 122, s)-Nets in Base 9

(74, 122, 448)-Net over F₉ — Constructive and digital

Digital (74, 122, 448)-net over F₉, using

trace code for nets [i] based on digital (13, 61, 224)-net over F₈₁, using
- net from sequence [i] based on digital (13, 223)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 13 and N(F) ≥ 224, using
    - a function field by SÃ©mirat [i]

(74, 122, 704)-Net over F₉ — Digital

Digital (74, 122, 704)-net over F₉, using

Gilbertâ€“VarÅ¡amov bound [i]

(74, 122, 86882)-Net in Base 9 — Upper bound on s

There is no (74, 122, 86883)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 261 594556 989159 879232 731782 159698 117254 078436 026708 761866 109005 331403 791542 138312 303408 293450 469541 790569 163503 908929 > 9¹²² [i]