MinT - Best Known (150−36, 150, s)-Nets in Base 2

Best Known (150−36, 150, s)-Nets in Base 2

(150−36, 150, 195)-Net over F₂ — Constructive and digital

Digital (114, 150, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 50, 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]

(150−36, 150, 246)-Net over F₂ — Digital

Digital (114, 150, 246)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(150−36, 150, 2409)-Net in Base 2 — Upper bound on s

There is no (114, 150, 2410)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 1429 013663 309653 747761 789880 245533 180290 717240 > 2¹⁵⁰ [i]