MinT - Best Known (22, 22+38, s)-Nets in Base 81

Best Known (22, 22+38, s)-Nets in Base 81

(22, 22+38, 370)-Net over F₈₁ — Constructive and digital

Digital (22, 60, 370)-net over F₈₁, using

t-expansion [i] based on digital (16, 60, 370)-net over F₈₁, using
- net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using
    - a function field by GarcÃa and Quoos [i]

(22, 22+38, 105410)-Net in Base 81 — Upper bound on s

There is no (22, 60, 105411)-net in base 81, because

the generalized Rao bound for nets shows that 81^mÂ â‰¥ 3 229765 079019 058615 888347 991929 911614 933018 806602 565801 633076 112165 311955 569527 770544 349679 386019 106246 739958 663121 > 81⁶⁰ [i]