MinT - Best Known (92, 117, s)-Nets in Base 2

Best Known (92, 117, s)-Nets in Base 2

(92, 117, 195)-Net over F₂ — Constructive and digital

Digital (92, 117, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 39, 65)-net over F₈, using
- net from sequence [i] based on digital (14, 64)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [i]

(92, 117, 284)-Net over F₂ — Digital

Digital (92, 117, 284)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(92, 117, 4281)-Net in Base 2 — Upper bound on s

There is no (92, 117, 4282)-net in base 2, because

1 times m-reduction [i] would yield (92, 116, 4282)-net in base 2, but
- the generalized Rao bound for nets shows that 2^mÂ â‰¥ 83298 976952 529339 397053 171663 541284 > 2¹¹⁶ [i]