MinT - Best Known (108−90, 108, s)-Nets in Base 9

Best Known (108−90, 108, s)-Nets in Base 9

(108−90, 108, 74)-Net over F₉ — Constructive and digital

Digital (18, 108, 74)-net over F₉, using

t-expansion [i] based on digital (17, 108, 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]

(108−90, 108, 402)-Net in Base 9 — Upper bound on s

There is no (18, 108, 403)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 11 821725 686152 576856 609116 556324 376069 302233 572740 223367 099384 357107 031672 666939 930758 176427 009461 342137 > 9¹⁰⁸ [i]