MinT - Best Known (17, 17+48, s)-Nets in Base 81

Best Known (17, 17+48, s)-Nets in Base 81

(17, 17+48, 370)-Net over F₈₁ — Constructive and digital

Digital (17, 65, 370)-net over F₈₁, using

t-expansion [i] based on digital (16, 65, 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]

(17, 17+48, 18063)-Net in Base 81 — Upper bound on s

There is no (17, 65, 18064)-net in base 81, because

the generalized Rao bound for nets shows that 81^mÂ â‰¥ 11266 623982 532864 148733 279715 364926 454798 452231 172761 199524 982696 652257 845296 623121 295400 271570 816759 916119 194120 928324 474881 > 81⁶⁵ [i]