MinT - Best Known (16, 16+44, s)-Nets in Base 81

Best Known (16, 16+44, s)-Nets in Base 81

(16, 16+44, 370)-Net over F₈₁ — Constructive and digital

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]

(16, 16+44, 18132)-Net in Base 81 — Upper bound on s

There is no (16, 60, 18133)-net in base 81, because

the generalized Rao bound for nets shows that 81^mÂ â‰¥ 3 230135 845795 229048 693603 859232 167649 785644 143515 882063 564706 460218 947865 281632 310062 175367 566292 307757 098473 136481 > 81⁶⁰ [i]