MinT - Best Known (98−60, 98, s)-Nets in Base 25

Best Known (98−60, 98, s)-Nets in Base 25

(98−60, 98, 208)-Net over F₂₅ — Constructive and digital

Digital (38, 98, 208)-net over F₂₅, using

t-expansion [i] based on digital (35, 98, 208)-net over F₂₅, using
- net from sequence [i] based on digital (35, 207)-sequence over F₂₅, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 35 and N(F) ≥ 208, using
    - a function field by GarcÃa and Quoos [i]

(98−60, 98, 18484)-Net in Base 25 — Upper bound on s

There is no (38, 98, 18485)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 99621 957179 514782 887240 755121 798353 185353 703034 264145 878870 452093 122675 985570 856350 365943 367710 984791 379299 192190 358012 027495 799614 880849 > 25⁹⁸ [i]