MinT - Best Known (90−50, 90, s)-Nets in Base 16

Best Known (90−50, 90, s)-Nets in Base 16

(90−50, 90, 225)-Net over F₁₆ — Constructive and digital

Digital (40, 90, 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]

(90−50, 90, 14654)-Net in Base 16 — Upper bound on s

There is no (40, 90, 14655)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 2 351794 673278 211322 705143 949941 825817 098313 891930 234108 236356 907768 255575 579068 122526 215311 526679 033943 070626 > 16⁹⁰ [i]