Increment of insecure RSA private exponent bound through perfect square RSA diophantine parameters cryptanalysis

The public parameters of the RSA cryptosystem are represented by the pair of integers N and e. In this work, first we show that if e satisfies the Diophantine equation of the form ex2−ϕ(N)y2=z for appropriate values of x,y and z under certain specified conditions, then one is able to factor N. That...

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Bibliographic Details
Main Authors: Wan Mohd Ruzai, Wan Nur Aqlili, Nitaj, Abderrahmane, Kamel Ariffin, Muhammad Rezal, Mahad, Zahari, Asbullah, Muhammad Asyraf
Format: Article
Published: Elsevier 2022