MinT - Best Known (85−68, 85, s)-Nets in Base 9

Best Known (85−68, 85, s)-Nets in Base 9

(85−68, 85, 74)-Net over F₉ — Constructive and digital

Digital (17, 85, 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]

(85−68, 85, 390)-Net in Base 9 — Upper bound on s

There is no (17, 85, 391)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 1323 050349 167482 377855 835474 220272 946407 344016 181341 850957 420354 989403 416932 304497 > 9⁸⁵ [i]