MinT - Best Known (179, 229, s)-Nets in Base 2

Best Known (179, 229, s)-Nets in Base 2

(179, 229, 260)-Net over F₂ — Constructive and digital

Digital (179, 229, 260)-net over F₂, using

2¹ times duplication [i] based on digital (178, 228, 260)-net over F₂, using
- t-expansion [i] based on digital (177, 228, 260)-net over F₂, using
  - trace code for nets [i] based on digital (6, 57, 65)-net over F₁₆, using
    - net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
        the Hermitian function field over F₁₆ [i]

(179, 229, 449)-Net over F₂ — Digital

Digital (179, 229, 449)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(179, 229, 5784)-Net in Base 2 — Upper bound on s

There is no (179, 229, 5785)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 862 898232 301522 277432 371923 808639 908334 537084 429306 758218 077033 087298 > 2²²⁹ [i]