MinT - Best Known (46−22, 46, s)-Nets in Base 9

Best Known (46−22, 46, s)-Nets in Base 9

(46−22, 46, 200)-Net over F₉ — Constructive and digital

Digital (24, 46, 200)-net over F₉, using

trace code for nets [i] based on digital (1, 23, 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]

(46−22, 46, 5996)-Net in Base 9 — Upper bound on s

There is no (24, 46, 5997)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 78 556594 366170 369662 182467 738903 334105 273017 > 9⁴⁶ [i]