MinT - Best Known (132, 132+36, s)-Nets in Base 2

Best Known (132, 132+36, s)-Nets in Base 2

(132, 132+36, 260)-Net over F₂ — Constructive and digital

Digital (132, 168, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 42, 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]

(132, 132+36, 368)-Net over F₂ — Digital

Digital (132, 168, 368)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(132, 132+36, 4845)-Net in Base 2 — Upper bound on s

There is no (132, 168, 4846)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 374 185865 742952 254029 475728 845599 936011 332569 341108 > 2¹⁶⁸ [i]