MinT - Best Known (116, 116+32, s)-Nets in Base 2

Best Known (116, 116+32, s)-Nets in Base 2

(116, 116+32, 196)-Net over F₂ — Constructive and digital

Digital (116, 148, 196)-net over F₂, using

trace code for nets [i] based on digital (5, 37, 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]

(116, 116+32, 325)-Net over F₂ — Digital

Digital (116, 148, 325)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(116, 116+32, 4117)-Net in Base 2 — Upper bound on s

There is no (116, 148, 4118)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 357 933088 324226 384653 239985 440667 240272 172797 > 2¹⁴⁸ [i]