MinT - Best Known (119−78, 119, s)-Nets in Base 16

Best Known (119−78, 119, s)-Nets in Base 16

(119−78, 119, 225)-Net over F₁₆ — Constructive and digital

Digital (41, 119, 225)-net over F₁₆, using

t-expansion [i] based on digital (40, 119, 225)-net over F₁₆, using
- net from sequence [i] based on digital (40, 224)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 40 and N(F) ≥ 225, using
    - a function field by GarcÃa and Quoos [i]

(119−78, 119, 4825)-Net in Base 16 — Upper bound on s

There is no (41, 119, 4826)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 196532 691489 884728 126841 494401 605665 509316 019124 616406 365279 218715 933770 297338 843380 017892 283005 557291 080650 571450 169414 120852 085033 668179 470936 > 16¹¹⁹ [i]