MinT - Best Known (117, 159, s)-Nets in Base 2

Best Known (117, 159, s)-Nets in Base 2

(117, 159, 144)-Net over F₂ — Constructive and digital

Digital (117, 159, 144)-net over F₂, using

trace code for nets [i] based on digital (11, 53, 48)-net over F₈, using
- net from sequence [i] based on digital (11, 47)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
    - a function field by SÃ©mirat [i]

(117, 159, 202)-Net over F₂ — Digital

Digital (117, 159, 202)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(117, 159, 1620)-Net in Base 2 — Upper bound on s

There is no (117, 159, 1621)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 738614 226355 631522 651137 471677 952234 492608 673442 > 2¹⁵⁹ [i]