MinT - Best Known (101−66, 101, s)-Nets in Base 25

Best Known (101−66, 101, s)-Nets in Base 25

(101−66, 101, 208)-Net over F₂₅ — Constructive and digital

Digital (35, 101, 208)-net over F₂₅, using

net from sequence [i] based on digital (35, 207)-sequence over F₂₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 35 and N(F) ≥ 208, using
  - a function field by GarcÃa and Quoos [i]

(101−66, 101, 10398)-Net in Base 25 — Upper bound on s

There is no (35, 101, 10399)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 1559 280665 016598 362657 496858 205478 838315 048317 339484 470196 575509 818708 125998 624359 505921 654483 998366 802366 312221 268469 175982 464056 249715 289065 > 25¹⁰¹ [i]