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On the Security of Jhanwar-Barua Identity-Based Encryption Scheme

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Innovative Security Solutions for Information Technology and Communications (SECITC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11359))

Abstract

In [3], 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. In [2], 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.

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References

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Acknowledgment

I wish to thank to my supervisor, Prof. Dr. Ferucio Laurenţiu Ţiplea, for helping me by deducing the property (2) from the Sect. 3 (the case when R is not a quadratic residue), after the practical tests told us that the property should hold.

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Authors and Affiliations

  1. Department of Computer Science, “Al. I. Cuza” University of Iași, 700506, Iași, Romania

    Adrian G. Schipor

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  1. Adrian G. Schipor
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Correspondence to Adrian G. Schipor .

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Editors and Affiliations

  1. Inria-RBA, Rennes, France

    Jean-Louis Lanet

  2. Bucharest University of Economic Studies, Bucharest, Romania

    Cristian Toma

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Schipor, A.G. (2019). On the Security of Jhanwar-Barua Identity-Based Encryption Scheme. In: Lanet, JL., Toma, C. (eds) Innovative Security Solutions for Information Technology and Communications. SECITC 2018. Lecture Notes in Computer Science(), vol 11359. Springer, Cham. https://doi.org/10.1007/978-3-030-12942-2_28

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  • DOI: https://doi.org/10.1007/978-3-030-12942-2_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12941-5

  • Online ISBN: 978-3-030-12942-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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