MinT - Best Known (5, 5+22, s)-Nets in Base 9

Best Known (5, 5+22, s)-Nets in Base 9

(5, 5+22, 32)-Net over F₉ — Constructive and digital

Digital (5, 27, 32)-net over F₉, using

net from sequence [i] based on digital (5, 31)-sequence over F₉, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 5 and N(F) ≥ 32, using
  - a function field by GarcÃa and Quoos [i]

(5, 5+22, 128)-Net in Base 9 — Upper bound on s

There is no (5, 27, 129)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 59 770690 734280 048554 144793 > 9²⁷ [i]