MinT - Best Known (132−28, 132, s)-Nets in Base 2

Best Known (132−28, 132, s)-Nets in Base 2

(132−28, 132, 196)-Net over F₂ — Constructive and digital

Digital (104, 132, 196)-net over F₂, using

trace code for nets [i] based on digital (5, 33, 49)-net over F₁₆, using
- net from sequence [i] based on digital (5, 48)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 5 and N(F) ≥ 49, using
    - a function field by SÃ©mirat [i]

(132−28, 132, 316)-Net over F₂ — Digital

Digital (104, 132, 316)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(132−28, 132, 4145)-Net in Base 2 — Upper bound on s

There is no (104, 132, 4146)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 5449 098342 598852 885907 477961 153368 735736 > 2¹³² [i]