MinT - Best Known (92, 92+26, s)-Nets in Base 2

Best Known (92, 92+26, s)-Nets in Base 2

(92, 92+26, 152)-Net over F₂ — Constructive and digital

Digital (92, 118, 152)-net over F₂, using

2² times duplication [i] based on digital (90, 116, 152)-net over F₂, using
- trace code for nets [i] based on digital (3, 29, 38)-net over F₁₆, using
  - net from sequence [i] based on digital (3, 37)-sequence over F₁₆, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
      - a function field by SÃ©mirat [i]

(92, 92+26, 260)-Net over F₂ — Digital

Digital (92, 118, 260)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(92, 92+26, 3041)-Net in Base 2 — Upper bound on s

There is no (92, 118, 3042)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 332540 912602 037554 847363 689302 702600 > 2¹¹⁸ [i]