[Resource Topic] 2018/479: On the security of Jhanwar-Barua Identity-Based Encryption Scheme

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Title:
On the security of Jhanwar-Barua Identity-Based Encryption Scheme

Authors: Adrian G. Schipor

Abstract:

In 2008, Jhanwar and Barua presented an improvement of the Boneh-Gentry-Hamburg (BGH) scheme. In addition to reducing the time complexity of the algorithm to find a solution of the equation ax^2+Sy^2\equiv 1 \bmod n, their scheme reduces the number of equations to be solved by combining existing solutions. Susilo et al. extended the Jhanwar-Barua scheme, reducing more the number of equations to be solved. This paper presents a security flaw that appears in both schemes and shows that they are not IND-ID-CPA secure.

ePrint: https://eprint.iacr.org/2018/479

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