MinT - Best Known (40, 40+60, s)-Nets in Base 16

Best Known (40, 40+60, s)-Nets in Base 16

(40, 40+60, 225)-Net over F₁₆ — Constructive and digital

Digital (40, 100, 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]

(40, 40+60, 8271)-Net in Base 16 — Upper bound on s

There is no (40, 100, 8272)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 2 590257 786880 239840 252308 935043 756588 502637 988797 374909 732691 974290 128891 963893 512754 673899 792253 919577 861037 819538 407276 > 16¹⁰⁰ [i]