MinT - Best Known (29, 29+54, s)-Nets in Base 25

Best Known (29, 29+54, s)-Nets in Base 25

(29, 29+54, 200)-Net over F₂₅ — Constructive and digital

Digital (29, 83, 200)-net over F₂₅, using

t-expansion [i] based on digital (25, 83, 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]

(29, 29+54, 9013)-Net in Base 25 — Upper bound on s

There is no (29, 83, 9014)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 107 114532 588863 931120 319159 155715 492189 999662 478057 692278 026642 787977 039280 846330 278861 796463 111452 715660 200257 624945 > 25⁸³ [i]