MinT - Best Known (152−32, 152, s)-Nets in Base 2

Best Known (152−32, 152, s)-Nets in Base 2

(152−32, 152, 260)-Net over F₂ — Constructive and digital

Digital (120, 152, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 38, 65)-net over F₁₆, using
- net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [i]

(152−32, 152, 359)-Net over F₂ — Digital

Digital (120, 152, 359)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(152−32, 152, 4900)-Net in Base 2 — Upper bound on s

There is no (120, 152, 4901)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 5716 142607 008113 391470 997816 036355 991026 827646 > 2¹⁵² [i]