MinT - Best Known (162, 202, s)-Nets in Base 2

Best Known (162, 202, s)-Nets in Base 2

(162, 202, 260)-Net over F₂ — Constructive and digital

Digital (162, 202, 260)-net over F₂, using

6 times m-reduction [i] based on digital (162, 208, 260)-net over F₂, using
- trace code for nets [i] based on digital (6, 52, 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]

(162, 202, 541)-Net over F₂ — Digital

Digital (162, 202, 541)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(162, 202, 9084)-Net in Base 2 — Upper bound on s

There is no (162, 202, 9085)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 6 434146 971228 674240 020410 421964 117900 586496 145318 321673 991283 > 2²⁰² [i]