MinT - Best Known (152, 207, s)-Nets in Base 2

Best Known (152, 207, s)-Nets in Base 2

(152, 207, 195)-Net over F₂ — Constructive and digital

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, 207, 246)-Net over F₂ — Digital

Digital (152, 207, 246)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(152, 207, 2123)-Net in Base 2 — Upper bound on s

There is no (152, 207, 2124)-net in base 2, because

1 times m-reduction [i] would yield (152, 206, 2124)-net in base 2, but
- the generalized Rao bound for nets shows that 2^mÂ â‰¥ 103 073944 171271 835117 801857 897041 831460 524318 653118 380883 524764 > 2²⁰⁶ [i]