MinT - Best Known (148, 148+56, s)-Nets in Base 2

Best Known (148, 148+56, s)-Nets in Base 2

(148, 148+56, 144)-Net over F₂ — Constructive and digital

Digital (148, 204, 144)-net over F₂, using

t-expansion [i] based on digital (147, 204, 144)-net over F₂, using
- trace code for nets [i] based on digital (11, 68, 48)-net over F₈, using
  - net from sequence [i] based on digital (11, 47)-sequence over F₈, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
      - a function field by SÃ©mirat [i]

(148, 148+56, 224)-Net over F₂ — Digital

Digital (148, 204, 224)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(148, 148+56, 1721)-Net in Base 2 — Upper bound on s

There is no (148, 204, 1722)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 25 782794 758497 222469 406275 302374 197516 467190 715426 230839 770600 > 2²⁰⁴ [i]