MinT - Best Known (44−38, 44, s)-Nets in Base 27

Best Known (44−38, 44, s)-Nets in Base 27

(44−38, 44, 76)-Net over F₂₇ — Constructive and digital

Digital (6, 44, 76)-net over F₂₇, using

net from sequence [i] based on digital (6, 75)-sequence over F₂₇, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 6 and N(F) ≥ 76, using
  - a function field by SÃ©mirat [i]

(44−38, 44, 619)-Net in Base 27 — Upper bound on s

There is no (6, 44, 620)-net in base 27, because

the generalized Rao bound for nets shows that 27^mÂ â‰¥ 961 367509 103813 732771 773503 950634 339324 728917 500200 084875 741553 > 27⁴⁴ [i]