MinT - Best Known (11, 65, s)-Nets in Base 27

Best Known (11, 65, s)-Nets in Base 27

(11, 65, 96)-Net over F₂₇ — Constructive and digital

Digital (11, 65, 96)-net over F₂₇, using

net from sequence [i] based on digital (11, 95)-sequence over F₂₇, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 11 and N(F) ≥ 96, using
  - an explicitly constructive algebraic function field [i]

(11, 65, 100)-Net over F₂₇ — Digital

Digital (11, 65, 100)-net over F₂₇, using

net from sequence [i] based on digital (11, 99)-sequence over F₂₇, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 11 and N(F) ≥ 100, using
  - a curve from the manYPoints database [i]

(11, 65, 1159)-Net in Base 27 — Upper bound on s

There is no (11, 65, 1160)-net in base 27, because

the generalized Rao bound for nets shows that 27^mÂ â‰¥ 1117 748099 094107 093922 834155 891707 286991 968863 619791 264848 137912 456964 027759 488277 216057 122913 > 27⁶⁵ [i]