MinT - Best Known (96−79, 96, s)-Nets in Base 9

Best Known (96−79, 96, s)-Nets in Base 9

(96−79, 96, 74)-Net over F₉ — Constructive and digital

Digital (17, 96, 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]

(96−79, 96, 382)-Net in Base 9 — Upper bound on s

There is no (17, 96, 383)-net in base 9, because

1 times m-reduction [i] would yield (17, 95, 383)-net in base 9, but
- the generalized Rao bound for nets shows that 9^mÂ â‰¥ 4 603860 699044 947293 668169 478619 611133 340511 438399 508016 879911 202268 107394 103982 225392 362185 > 9⁹⁵ [i]