MinT - Best Known (207, 260, s)-Nets in Base 2

Best Known (207, 260, s)-Nets in Base 2

(207, 260, 260)-Net over F₂ — Constructive and digital

Digital (207, 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]

(207, 260, 610)-Net over F₂ — Digital

Digital (207, 260, 610)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(207, 260, 10481)-Net in Base 2 — Upper bound on s

There is no (207, 260, 10482)-net in base 2, because

1 times m-reduction [i] would yield (207, 259, 10482)-net in base 2, but
- the generalized Rao bound for nets shows that 2^mÂ â‰¥ 927380 242647 800774 617275 540464 221363 716330 812663 161631 334040 944102 553619 161808 > 2²⁵⁹ [i]