MinT - Best Known (120−28, 120, s)-Nets in Base 2

Best Known (120−28, 120, s)-Nets in Base 2

(120−28, 120, 144)-Net over F₂ — Constructive and digital

Digital (92, 120, 144)-net over F₂, using

t-expansion [i] based on digital (91, 120, 144)-net over F₂, using
- trace code for nets [i] based on digital (11, 40, 48)-net over F₈, using
  - net from sequence [i] based on digital (11, 47)-sequence over F₈, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
      - a function field by SÃ©mirat [i]

(120−28, 120, 223)-Net over F₂ — Digital

Digital (92, 120, 223)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(120−28, 120, 2279)-Net in Base 2 — Upper bound on s

There is no (92, 120, 2280)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 1 333170 260505 886429 114860 506088 519444 > 2¹²⁰ [i]