MinT - Best Known (27, 107, s)-Nets in Base 25

Best Known (27, 107, s)-Nets in Base 25

(27, 107, 200)-Net over F₂₅ — Constructive and digital

Digital (27, 107, 200)-net over F₂₅, using

t-expansion [i] based on digital (25, 107, 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]

(27, 107, 3585)-Net in Base 25 — Upper bound on s

There is no (27, 107, 3586)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 383106 025900 997799 974778 675718 583800 566744 739197 533052 885744 245151 822844 253140 353188 865121 796922 154153 656296 282577 792157 635716 752048 705307 077129 517185 > 25¹⁰⁷ [i]