MinT - Best Known (25, 25+64, s)-Nets in Base 25

Best Known (25, 25+64, s)-Nets in Base 25

(25, 25+64, 200)-Net over F₂₅ — Constructive and digital

Digital (25, 89, 200)-net over F₂₅, using

net from sequence [i] based on digital (25, 199)-sequence over F₂₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200, using
  - a function field by GarcÃa and Quoos [i]

(25, 25+64, 4101)-Net in Base 25 — Upper bound on s

There is no (25, 89, 4102)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 26260 952937 168565 783157 246099 962608 771153 416170 673475 514625 736154 566392 252848 545623 769644 348983 897675 005377 952601 850738 548225 > 25⁸⁹ [i]