MinT - Best Known (176, 224, s)-Nets in Base 2

Best Known (176, 224, s)-Nets in Base 2

(176, 224, 260)-Net over F₂ — Constructive and digital

Digital (176, 224, 260)-net over F₂, using

t-expansion [i] based on digital (174, 224, 260)-net over F₂, using
- trace code for nets [i] based on digital (6, 56, 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]

(176, 224, 465)-Net over F₂ — Digital

Digital (176, 224, 465)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(176, 224, 6288)-Net in Base 2 — Upper bound on s

There is no (176, 224, 6289)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 27 025483 107376 047575 068742 686437 751419 809483 263294 283879 945413 003408 > 2²²⁴ [i]