MinT - Best Known (16, 16+38, s)-Nets in Base 81

Best Known (16, 16+38, s)-Nets in Base 81

(16, 16+38, 370)-Net over F₈₁ — Constructive and digital

Digital (16, 54, 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+38, 26308)-Net in Base 81 — Upper bound on s

There is no (16, 54, 26309)-net in base 81, because

the generalized Rao bound for nets shows that 81^mÂ â‰¥ 11 441794 948196 186194 568093 861577 493057 849025 585810 487689 638417 108320 552564 787084 059352 616279 258803 797681 > 81⁵⁴ [i]