MinT - Best Known (16−11, 16, s)-Nets in Base 9

Best Known (16−11, 16, s)-Nets in Base 9

(16−11, 16, 32)-Net over F₉ — Constructive and digital

Digital (5, 16, 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]

(16−11, 16, 234)-Net in Base 9 — Upper bound on s

There is no (5, 16, 235)-net in base 9, because

1 times m-reduction [i] would yield (5, 15, 235)-net in base 9, but
- the generalized Rao bound for nets shows that 9^mÂ â‰¥ 206 841214 458297 > 9¹⁵ [i]