MinT - Best Known (116−26, 116, s)-Nets in Base 2

Best Known (116−26, 116, s)-Nets in Base 2

(116−26, 116, 152)-Net over F₂ — Constructive and digital

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]

(116−26, 116, 244)-Net over F₂ — Digital

Digital (90, 116, 244)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(116−26, 116, 2732)-Net in Base 2 — Upper bound on s

There is no (90, 116, 2733)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 83373 534698 139309 307149 825038 184834 > 2¹¹⁶ [i]