MinT - Best Known (25, 87, s)-Nets in Base 25

Best Known (25, 87, s)-Nets in Base 25

(25, 87, 200)-Net over F₂₅ — Constructive and digital

Digital (25, 87, 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, 87, 4319)-Net in Base 25 — Upper bound on s

There is no (25, 87, 4320)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 41 894473 083493 980284 289918 554703 407628 960424 265749 357305 211202 819211 000337 880731 213413 335252 990068 247963 894076 898360 231681 > 25⁸⁷ [i]