MinT - Best Known (152, 198, s)-Nets in Base 2

Best Known (152, 198, s)-Nets in Base 2

(152, 198, 195)-Net over F₂ — Constructive and digital

Digital (152, 198, 195)-net over F₂, using

9 times m-reduction [i] based on digital (152, 207, 195)-net over F₂, using
- trace code for nets [i] based on digital (14, 69, 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]

(152, 198, 336)-Net over F₂ — Digital

Digital (152, 198, 336)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(152, 198, 3646)-Net in Base 2 — Upper bound on s

There is no (152, 198, 3647)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 402098 286098 311224 191808 659895 080203 296786 079994 654980 097170 > 2¹⁹⁸ [i]