MinT - Best Known (70, 114, s)-Nets in Base 9

Best Known (70, 114, s)-Nets in Base 9

(70, 114, 448)-Net over F₉ — Constructive and digital

Digital (70, 114, 448)-net over F₉, using

trace code for nets [i] based on digital (13, 57, 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]

(70, 114, 736)-Net over F₉ — Digital

Digital (70, 114, 736)-net over F₉, using

Gilbertâ€“VarÅ¡amov bound [i]

(70, 114, 99636)-Net in Base 9 — Upper bound on s

There is no (70, 114, 99637)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 6 077678 287385 353565 958060 455665 053145 985613 857075 578592 416905 848598 621826 838482 372041 557344 610427 880021 245105 > 9¹¹⁴ [i]