Linear Generalized ElGamal Encryption Scheme

Pascal Lafourcade; Léo Robert; Demba Sow

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Paper

Linear Generalized ElGamal Encryption Scheme

Topics: Security Protocols

In Proceedings of the 17th International Joint Conference on e-Business and Telecommunications SECRYPT - Volume 1, 372-379, 2020 , Lieusaint - Paris, France

Authors: Pascal Lafourcade ¹ ; Léo Robert ¹ and Demba Sow ²

Affiliations: ¹ Université Clermont Auvergne, LIMOS CNRS (UMR 6158), Campus des Cézeaux, Aubière, France ; ² LACGAA, Université Cheikh Anta Diop de Dakar, Senegal

Keyword(s): Cryptography, Partial Homomorphic Encryption, Linear Assumption, ElGamal Encryption Scheme.

Abstract: ElGamal public key encryption scheme has been designed in the 80’s. It is one of the first partial homomorphic encryption and one of the first IND-CPA probabilistic public key encryption scheme. A linear version has been recently proposed by Boneh et al. In this paper, we present a linear encryption based on a generalized version of ElGamal encryption scheme. We prove that our scheme is IND-CPA secure under linear assumption. We design a generalized ElGamal scheme from the generalized linear. We also run an evaluation of performances of our scheme. We show that the decryption algorithm is slightly faster than the existing versions.

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Paper citation in several formats:

Lafourcade, P., Robert, L. and Sow, D. (2020). Linear Generalized ElGamal Encryption Scheme. 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 372-379. DOI: 10.5220/0009828703720379

@conference{secrypt20,
author={Pascal Lafourcade and Léo Robert and Demba Sow},
title={Linear Generalized ElGamal Encryption Scheme},
booktitle={Proceedings of the 17th International Joint Conference on e-Business and Telecommunications - SECRYPT},
year={2020},
pages={372-379},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009828703720379},
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 - Linear Generalized ElGamal Encryption Scheme
SN - 978-989-758-446-6
IS - 2184-7711
AU - Lafourcade, P.
AU - Robert, L.
AU - Sow, D.
PY - 2020
SP - 372
EP - 379
DO - 10.5220/0009828703720379
PB - SciTePress