MinT - Best Known (206, 260, s)-Nets in Base 2

Best Known (206, 260, s)-Nets in Base 2

(206, 260, 260)-Net over F₂ — Constructive and digital

Digital (206, 260, 260)-net over F₂, using

t-expansion [i] based on digital (201, 260, 260)-net over F₂, using
- trace code for nets [i] based on digital (6, 65, 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]

(206, 260, 577)-Net over F₂ — Digital

Digital (206, 260, 577)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(206, 260, 8614)-Net in Base 2 — Upper bound on s

There is no (206, 260, 8615)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 1 858291 483644 972167 406849 752035 357550 924705 885028 276054 400043 354692 064780 235096 > 2²⁶⁰ [i]