MinT - Best Known (207, 255, s)-Nets in Base 2

Best Known (207, 255, s)-Nets in Base 2

(207, 255, 320)-Net over F₂ — Constructive and digital

Digital (207, 255, 320)-net over F₂, using

trace code for nets [i] based on digital (3, 51, 64)-net over F₃₂, using
- net from sequence [i] based on digital (3, 63)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 3 and N(F) ≥ 64, using
    - a function field by SÃ©mirat [i]

(207, 255, 769)-Net over F₂ — Digital

Digital (207, 255, 769)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(207, 255, 15445)-Net in Base 2 — Upper bound on s

There is no (207, 255, 15446)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 57913 819345 297495 429869 618794 110867 403990 544103 414390 516256 172305 492183 832376 > 2²⁵⁵ [i]