MinT - Best Known (17, 69, s)-Nets in Base 9

Best Known (17, 69, s)-Nets in Base 9

(17, 69, 74)-Net over F₉ — Constructive and digital

Digital (17, 69, 74)-net over F₉, using

net from sequence [i] based on digital (17, 73)-sequence over F₉, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
  - a function field by GarcÃa and Quoos [i]

(17, 69, 433)-Net in Base 9 — Upper bound on s

There is no (17, 69, 434)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 704535 133519 334453 425269 735241 618444 278571 407255 901134 815537 289825 > 9⁶⁹ [i]