MinT - Best Known (34−28, 34, s)-Nets in Base 27

Best Known (34−28, 34, s)-Nets in Base 27

(34−28, 34, 76)-Net over F₂₇ — Constructive and digital

Digital (6, 34, 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]

(34−28, 34, 689)-Net in Base 27 — Upper bound on s

There is no (6, 34, 690)-net in base 27, because

the generalized Rao bound for nets shows that 27^mÂ â‰¥ 4 727875 446017 654251 171842 756228 204127 726769 725933 > 27³⁴ [i]