Threshold Cryptosystems Based on 2 k-th Power Residue Symbols

George Teşeleanu; George Teşeleanu

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Paper

Threshold Cryptosystems Based on 2 k-th Power Residue Symbols

Topics: Applied Cryptography; Security Protocols

In Proceedings of the 20th International Conference on Security and Cryptography SECRYPT - Volume 1, 295-302, 2023 , Rome, Italy

Authors: George Teşeleanu ^{1

;

2}

Affiliations: ¹ Simion Stoilow Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei, Bucharest, Romania ; ² Advanced Technologies Institute, 10 Dinu Vintila, Bucharest, Romania

Keyword(s): Threshold Decryption, Homomorphic Encryption, Gap Residuosity Assumption.

Abstract: In this paper we introduce a novel version of the Joye-Libert cryptosystem that allows users to decrypt without knowing the factorisation of the composite modulus. Then we use our construction as a building block for a threshold decryption protocol of the homomorphic Joye-Libert encryption scheme. Finally, we present several extensions of the threshold cryptosystem.

CC BY-NC-ND 4.0

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Paper citation in several formats:

Teşeleanu, G. (2023). Threshold Cryptosystems Based on 2 k-th Power Residue Symbols. In Proceedings of the 20th International Conference on Security and Cryptography - SECRYPT; ISBN 978-989-758-666-8; ISSN 2184-7711, SciTePress, pages 295-302. DOI: 10.5220/0012007600003555

@conference{secrypt23,
author={George Teşeleanu},
title={Threshold Cryptosystems Based on 2 k-th Power Residue Symbols},
booktitle={Proceedings of the 20th International Conference on Security and Cryptography - SECRYPT},
year={2023},
pages={295-302},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012007600003555},
isbn={978-989-758-666-8},
issn={2184-7711},
}

TY - CONF

JO - Proceedings of the 20th International Conference on Security and Cryptography - SECRYPT
TI - Threshold Cryptosystems Based on 2 k-th Power Residue Symbols
SN - 978-989-758-666-8
IS - 2184-7711
AU - Teşeleanu, G.
PY - 2023
SP - 295
EP - 302
DO - 10.5220/0012007600003555
PB - SciTePress