Privacy-Preserving Greater-Than Integer Comparison without Binary Decomposition

Sigurd Eskeland

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Paper

Privacy-Preserving Greater-Than Integer Comparison without Binary Decomposition

Topics: Applied Cryptography; Personal Data Protection for Information Systems; Privacy; Privacy Enhancing Technologies; Security Protocols

In Proceedings of the 17th International Joint Conference on e-Business and Telecommunications SECRYPT - Volume 1, 340-348, 2020 , Lieusaint - Paris, France

Author: Sigurd Eskeland

Affiliation: Norwegian Computing Center, Postboks 114 Blindern, 0314 Oslo, Norway

Keyword(s): Privacy-Preserving Integer Comparison, Privacy Protocols, Homomorphic Cryptography.

Abstract: Common for the overwhelming majority of privacy-preserving greater-than integer comparison schemes is that cryptographic computations are conducted in a bitwise manner. To ensure secrecy, each bit must be encoded in such a way that nothing is revealed to the opposite party. The most noted disadvantage is that the computational and communication cost of bitwise encoding is at best linear to the number of bits. Also, many proposed schemes have complex designs that may be difficult to implement. Carlton et al. (2018) proposed an interesting scheme that avoids bitwise decomposition and works on whole integers. A variant was proposed by Bourse et al. (2019). Despite that the stated adversarial model of these schemes is honest-but-curious users, we show that they are vulnerable to malicious users. Inspired by the two mentioned papers, we propose a novel comparison scheme, which is resistant to malicious users.

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Paper citation in several formats:

Eskeland, S. (2020). Privacy-Preserving Greater-Than Integer Comparison without Binary Decomposition. In Proceedings of the 17th International Joint Conference on e-Business and Telecommunications - SECRYPT; ISBN 978-989-758-446-6; ISSN 2184-7711, SciTePress, pages 340-348. DOI: 10.5220/0009822403400348

@conference{secrypt20,
author={Sigurd Eskeland.},
title={Privacy-Preserving Greater-Than Integer Comparison without Binary Decomposition},
booktitle={Proceedings of the 17th International Joint Conference on e-Business and Telecommunications - SECRYPT},
year={2020},
pages={340-348},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009822403400348},
isbn={978-989-758-446-6},
issn={2184-7711},
}

TY - CONF

JO - Proceedings of the 17th International Joint Conference on e-Business and Telecommunications - SECRYPT
TI - Privacy-Preserving Greater-Than Integer Comparison without Binary Decomposition
SN - 978-989-758-446-6
IS - 2184-7711
AU - Eskeland, S.
PY - 2020
SP - 340
EP - 348
DO - 10.5220/0009822403400348
PB - SciTePress