MinT - Best Known (94−77, 94, s)-Nets in Base 9

Best Known (94−77, 94, s)-Nets in Base 9

(94−77, 94, 74)-Net over F₉ — Constructive and digital

Digital (17, 94, 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]

(94−77, 94, 383)-Net in Base 9 — Upper bound on s

There is no (17, 94, 384)-net in base 9, because

1 times m-reduction [i] would yield (17, 93, 384)-net in base 9, but
- the generalized Rao bound for nets shows that 9^mÂ â‰¥ 57295 995630 725205 874963 719315 750056 496764 412871 975381 697347 284043 201747 742677 489524 905985 > 9⁹³ [i]