MinT - Best Known (26, 26+82, s)-Nets in Base 25

Best Known (26, 26+82, s)-Nets in Base 25

(26, 26+82, 200)-Net over F₂₅ — Constructive and digital

Digital (26, 108, 200)-net over F₂₅, using

t-expansion [i] based on digital (25, 108, 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, 26+82, 3214)-Net in Base 25 — Upper bound on s

There is no (26, 108, 3215)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 9 512594 445701 259445 619542 181245 397402 322613 377637 745672 279323 208340 620563 972678 735974 027484 054131 660111 208008 192223 480765 537795 364290 953399 746825 231785 > 25¹⁰⁸ [i]