MinT - Best Known (204, 204+56, s)-Nets in Base 2

Best Known (204, 204+56, s)-Nets in Base 2

(204, 204+56, 260)-Net over F₂ — Constructive and digital

Digital (204, 260, 260)-net over F₂, using

t-expansion [i] based on digital (201, 260, 260)-net over F₂, using
- trace code for nets [i] based on digital (6, 65, 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]

(204, 204+56, 521)-Net over F₂ — Digital

Digital (204, 260, 521)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(204, 204+56, 7010)-Net in Base 2 — Upper bound on s

There is no (204, 260, 7011)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 1 858975 632195 770145 924116 308537 462866 470802 707411 155903 293659 214110 040987 299736 > 2²⁶⁰ [i]