MinT - Best Known (164, 208, s)-Nets in Base 2

Best Known (164, 208, s)-Nets in Base 2

(164, 208, 260)-Net over F₂ — Constructive and digital

Digital (164, 208, 260)-net over F₂, using

t-expansion [i] based on digital (162, 208, 260)-net over F₂, using
- trace code for nets [i] based on digital (6, 52, 65)-net over F₁₆, using
  - net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
      - the Hermitian function field over F₁₆ [i]

(164, 208, 454)-Net over F₂ — Digital

Digital (164, 208, 454)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(164, 208, 6320)-Net in Base 2 — Upper bound on s

There is no (164, 208, 6321)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 412 483316 241647 770059 868062 655081 494602 309222 637801 350115 368144 > 2²⁰⁸ [i]