Privacy-Preserving Greater-Than Integer Comparison without Binary Decomposition

Sigurd Eskeland

2020

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.

Paper Citation

in Harvard Style

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 - Volume 3: SECRYPT, ISBN 978-989-758-446-6, pages 340-348. DOI: 10.5220/0009822403400348

in Bibtex Style

@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 - Volume 3: SECRYPT,},
year={2020},
pages={340-348},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009822403400348},
isbn={978-989-758-446-6},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 17th International Joint Conference on e-Business and Telecommunications - Volume 3: SECRYPT,
TI - Privacy-Preserving Greater-Than Integer Comparison without Binary Decomposition
SN - 978-989-758-446-6
AU - Eskeland S.
PY - 2020
SP - 340
EP - 348
DO - 10.5220/0009822403400348