MinT - Best Known (62−34, 62, s)-Nets in Base 8

Best Known (62−34, 62, s)-Nets in Base 8

(62−34, 62, 65)-Net over F₈ — Constructive and digital

Digital (28, 62, 65)-net over F₈, using

t-expansion [i] based on digital (14, 62, 65)-net over F₈, using
- net from sequence [i] based on digital (14, 64)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [i]

(62−34, 62, 97)-Net over F₈ — Digital

Digital (28, 62, 97)-net over F₈, using

net from sequence [i] based on digital (28, 96)-sequence over F₈, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 28 and N(F) ≥ 97, using
  - a curve from the manYPoints database [i]

(62−34, 62, 2005)-Net in Base 8 — Upper bound on s

There is no (28, 62, 2006)-net in base 8, because

the generalized Rao bound for nets shows that 8^mÂ â‰¥ 98 501877 063962 931787 181431 396429 638185 379498 982124 719099 > 8⁶² [i]