MinT - Best Known (38, 74, s)-Nets in Base 9

Best Known (38, 74, s)-Nets in Base 9

(38, 74, 200)-Net over F₉ — Constructive and digital

Digital (38, 74, 200)-net over F₉, using

trace code for nets [i] based on digital (1, 37, 100)-net over F₈₁, using
- net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
    - a function field by SÃ©mirat [i]

(38, 74, 7896)-Net in Base 9 — Upper bound on s

There is no (38, 74, 7897)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 41136 480358 689759 723372 530305 890862 906789 452643 776420 309813 447295 717713 > 9⁷⁴ [i]