MinT - Best Known (155, 155+56, s)-Nets in Base 2

Best Known (155, 155+56, s)-Nets in Base 2

(155, 155+56, 195)-Net over F₂ — Constructive and digital

Digital (155, 211, 195)-net over F₂, using

2¹ times duplication [i] based on digital (154, 210, 195)-net over F₂, using
- trace code for nets [i] based on digital (14, 70, 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]

(155, 155+56, 251)-Net over F₂ — Digital

Digital (155, 211, 251)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(155, 155+56, 2055)-Net in Base 2 — Upper bound on s

There is no (155, 211, 2056)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 3321 692248 708942 242922 605253 854941 101338 136987 961103 860425 373952 > 2²¹¹ [i]