MinT - Best Known (26, 102, s)-Nets in Base 25

Best Known (26, 102, s)-Nets in Base 25

(26, 102, 200)-Net over F₂₅ — Constructive and digital

Digital (26, 102, 200)-net over F₂₅, using

t-expansion [i] based on digital (25, 102, 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]

(26, 102, 3519)-Net in Base 25 — Upper bound on s

There is no (26, 102, 3520)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 39075 086629 037973 529683 517298 401378 167999 873299 404644 165267 547710 915633 688877 908029 054971 840970 500917 750904 252656 384516 511316 000541 241468 027905 > 25¹⁰² [i]