MinT - Best Known (183, 183+70, s)-Nets in Base 2

Best Known (183, 183+70, s)-Nets in Base 2

(183, 183+70, 195)-Net over F₂ — Constructive and digital

Digital (183, 253, 195)-net over F₂, using

2¹ times duplication [i] based on digital (182, 252, 195)-net over F₂, using
- trace code for nets [i] based on digital (14, 84, 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]

(183, 183+70, 265)-Net over F₂ — Digital

Digital (183, 253, 265)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(183, 183+70, 2034)-Net in Base 2 — Upper bound on s

There is no (183, 253, 2035)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 14614 515582 094494 072127 332597 424803 292337 122227 637022 592551 311221 427941 470654 > 2²⁵³ [i]