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Authors: Herve Chabanne 1 ; Gerard Cohen 2 and Alain Patey 1

Affiliations: 1 Morpho and Telecom ParisTech, France ; 2 Telecom ParisTech, France

Keyword(s): Public-key Cryptography, Homomorphic Encryption, Wire-Tap Channel.

Related Ontology Subjects/Areas/Topics: Applied Cryptography ; Biometrics Security and Privacy ; Cryptographic Techniques and Key Management ; Data Engineering ; Databases and Data Security ; Information and Systems Security

Abstract: At STOC 2010, Applebaum, Barak and Wigderson introduced three new public-key cryptosystems based on combinatorial assumptions. In their paper, only encryption of bits has been considered. In this paper, we focus on one of their schemes and adapt it to encrypt a constant number of bits in a single ciphertext without changing the size of the public key. We add wire-tap channel techniques to improve the security level of our scheme, thus reaching indistinguishability. We show that it is homomorphic for the XOR operation on bit strings. We also suggest concrete parameters for a first instantiation of our scheme.

CC BY-NC-ND 4.0

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Paper citation in several formats:
Chabanne, H.; Cohen, G. and Patey, A. (2013). Public-key Cryptography from Different Assumptions - A Multi-bit Version. In Proceedings of the 10th International Conference on Security and Cryptography (ICETE 2013) - SECRYPT; ISBN 978-989-8565-73-0; ISSN 2184-3236, SciTePress, pages 561-567. DOI: 10.5220/0004600205610567

@conference{secrypt13,
author={Herve Chabanne. and Gerard Cohen. and Alain Patey.},
title={Public-key Cryptography from Different Assumptions - A Multi-bit Version},
booktitle={Proceedings of the 10th International Conference on Security and Cryptography (ICETE 2013) - SECRYPT},
year={2013},
pages={561-567},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004600205610567},
isbn={978-989-8565-73-0},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the 10th International Conference on Security and Cryptography (ICETE 2013) - SECRYPT
TI - Public-key Cryptography from Different Assumptions - A Multi-bit Version
SN - 978-989-8565-73-0
IS - 2184-3236
AU - Chabanne, H.
AU - Cohen, G.
AU - Patey, A.
PY - 2013
SP - 561
EP - 567
DO - 10.5220/0004600205610567
PB - SciTePress