MinT - Best Known (208, 208+48, s)-Nets in Base 2

Best Known (208, 208+48, s)-Nets in Base 2

(208, 208+48, 320)-Net over F₂ — Constructive and digital

Digital (208, 256, 320)-net over F₂, using

2¹ times duplication [i] based on 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]

(208, 208+48, 781)-Net over F₂ — Digital

Digital (208, 256, 781)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(208, 208+48, 15899)-Net in Base 2 — Upper bound on s

There is no (208, 256, 15900)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 115890 381453 505108 514311 225847 812517 168643 557554 287739 872289 450830 397329 644621 > 2²⁵⁶ [i]