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The Case of Small Prime Numbers Versus the Joye–Libert Cryptosystem

Author

Listed:
  • George Teşeleanu

    (Advanced Technologies Institute, 10 Dinu Vintilă, 021102 Bucharest, Romania
    Simion Stoilow Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei, 010702 Bucharest, Romania)

Abstract

In this paper, we study the effect of using small prime numbers within the Joye–Libert public key encryption scheme. We introduce two novel versions and prove their security. We further show how to choose the system’s parameters such that the security results hold. Moreover, we provide a practical comparison between the cryptographic algorithms we introduced and the original Joye–Libert cryptosystem.

Suggested Citation

  • George Teşeleanu, 2022. "The Case of Small Prime Numbers Versus the Joye–Libert Cryptosystem," Mathematics, MDPI, vol. 10(9), pages 1-15, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1577-:d:810274
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