MinT - Best Known (66−50, 66, s)-Nets in Base 81

Best Known (66−50, 66, s)-Nets in Base 81

(66−50, 66, 370)-Net over F₈₁ — Constructive and digital

Digital (16, 66, 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]

(66−50, 66, 13885)-Net in Base 81 — Upper bound on s

There is no (16, 66, 13886)-net in base 81, because

the generalized Rao bound for nets shows that 81^mÂ â‰¥ 913385 541415 885601 807527 097966 875095 905368 948260 415522 081144 673132 446099 410230 090983 066744 822279 778149 129703 981349 737604 092001 > 81⁶⁶ [i]