MinT - Best Known (26, 98, s)-Nets in Base 25

Best Known (26, 98, s)-Nets in Base 25

(26, 98, 200)-Net over F₂₅ — Constructive and digital

Digital (26, 98, 200)-net over F₂₅, using

t-expansion [i] based on digital (25, 98, 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]

(26, 98, 3783)-Net in Base 25 — Upper bound on s

There is no (26, 98, 3784)-net in base 25, because

the generalized Rao bound for nets shows that 25^mÂ â‰¥ 100352 794875 002568 251164 983600 229514 614760 486368 052020 327389 269584 193254 012313 884935 440276 875052 262642 433668 866451 198136 377000 306750 138625 > 25⁹⁸ [i]