MinT - Best Known (114, 144, s)-Nets in Base 2

Best Known (114, 144, s)-Nets in Base 2

(114, 144, 260)-Net over F₂ — Constructive and digital

Digital (114, 144, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 36, 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]

(114, 144, 356)-Net over F₂ — Digital

Digital (114, 144, 356)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(114, 144, 4962)-Net in Base 2 — Upper bound on s

There is no (114, 144, 4963)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 22 305937 098899 241697 974030 394283 427672 361808 > 2¹⁴⁴ [i]