MinT - Best Known (41, 41+66, s)-Nets in Base 25

Best Known (41, 41+66, s)-Nets in Base 25

(41, 41+66, 288)-Net over F₂₅ — Constructive and digital

Digital (41, 107, 288)-net over F₂₅, using

net from sequence [i] based on digital (41, 287)-sequence over F₂₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 41 and N(F) ≥ 288, using
  - a function field by GarcÃa and Quoos [i]

(41, 41+66, 18683)-Net in Base 25 — Upper bound on s

There is no (41, 107, 18684)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 380285 068029 679754 989752 087314 870306 957035 708779 361991 303274 110687 140469 512011 973367 224443 086994 634950 798528 049677 534253 672639 723162 538041 272257 061793 > 25¹⁰⁷ [i]