MinT - Best Known (43−28, 43, s)-Nets in Base 9

Best Known (43−28, 43, s)-Nets in Base 9

(43−28, 43, 64)-Net over F₉ — Constructive and digital

Digital (15, 43, 64)-net over F₉, using

t-expansion [i] based on digital (13, 43, 64)-net over F₉, using
- net from sequence [i] based on digital (13, 63)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, using
    - a function field by GarcÃa and Quoos [i]

(43−28, 43, 636)-Net in Base 9 — Upper bound on s

There is no (15, 43, 637)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 109330 045521 036627 729840 793535 938552 419057 > 9⁴³ [i]