MinT - Best Known (42, 100, s)-Nets in Base 16

Best Known (42, 100, s)-Nets in Base 16

(42, 100, 225)-Net over F₁₆ — Constructive and digital

Digital (42, 100, 225)-net over F₁₆, using

t-expansion [i] based on 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]

(42, 100, 11029)-Net in Base 16 — Upper bound on s

There is no (42, 100, 11030)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 2 588041 386278 598810 624317 400694 062568 534960 888394 556970 418334 597708 621624 781794 882389 796256 514239 640504 551496 649291 470176 > 16¹⁰⁰ [i]