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

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

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 c...

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Bibliographic Details
Main Author: Teşeleanu, G. (Author)
Format: Article
Language:English
Published: MDPI 2022
Subjects:
gap 2k-residuosity
provable security
public key encryption
Online Access:View Fulltext in Publisher
Description
Summary: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. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
ISBN:22277390 (ISSN)
DOI:10.3390/math10091577

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