MinT - Best Known (30, 30+28, s)-Nets in Base 9

Best Known (30, 30+28, s)-Nets in Base 9

(30, 30+28, 200)-Net over F₉ — Constructive and digital

Digital (30, 58, 200)-net over F₉, using

trace code for nets [i] based on digital (1, 29, 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]

(30, 30+28, 6778)-Net in Base 9 — Upper bound on s

There is no (30, 58, 6779)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 22 210715 659301 006476 176739 315915 103890 673736 620370 225489 > 9⁵⁸ [i]