MinT - Best Known (17, 17+80, s)-Nets in Base 9

Best Known (17, 17+80, s)-Nets in Base 9

(17, 17+80, 74)-Net over F₉ — Constructive and digital

Digital (17, 97, 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, 17+80, 382)-Net in Base 9 — Upper bound on s

There is no (17, 97, 383)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 397 200618 743640 952511 701699 245118 897884 948920 276618 440049 106524 683540 803573 381693 362137 439937 > 9⁹⁷ [i]