[Resource Topic] 2022/522: The Case of Small Prime Numbers Versus the Joye-Libert Cryptosystem

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Title:
The Case of Small Prime Numbers Versus the Joye-Libert Cryptosystem

Authors: George Teseleanu

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.

ePrint: https://eprint.iacr.org/2022/522

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