MinT - Best Known (102, 132, s)-Nets in Base 2

Best Known (102, 132, s)-Nets in Base 2

(102, 132, 195)-Net over F₂ — Constructive and digital

Digital (102, 132, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 44, 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]

(102, 132, 258)-Net over F₂ — Digital

Digital (102, 132, 258)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(102, 132, 2841)-Net in Base 2 — Upper bound on s

There is no (102, 132, 2842)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 5469 179078 006416 960074 014602 842163 606328 > 2¹³² [i]