MinT - Best Known (35, 87, s)-Nets in Base 25

Best Known (35, 87, s)-Nets in Base 25

(35, 87, 208)-Net over F₂₅ — Constructive and digital

Digital (35, 87, 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]

(35, 87, 20918)-Net in Base 25 — Upper bound on s

There is no (35, 87, 20919)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 41 808609 046742 744068 920021 418450 265266 112259 515438 123309 871533 230496 885115 610022 367706 295319 175860 158157 235602 325063 805713 > 25⁸⁷ [i]