MinT - Best Known (39, 39+68, s)-Nets in Base 25

Best Known (39, 39+68, s)-Nets in Base 25

(39, 39+68, 208)-Net over F₂₅ — Constructive and digital

Digital (39, 107, 208)-net over F₂₅, using

t-expansion [i] based on digital (35, 107, 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]

(39, 39+68, 14129)-Net in Base 25 — Upper bound on s

There is no (39, 107, 14130)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 380677 347339 869395 491473 696627 631913 818789 386448 251290 321929 216356 890436 117157 346710 010597 484106 207999 113548 567579 033158 322913 588595 246691 177648 187425 > 25¹⁰⁷ [i]