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An implementation of the Paillier crypto system with threshold decryption without a trusted dealer

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Author: Veugen, P.J.M. · Attema, T. · Spini, G.
Source:Cryptology ePrint Archive: Report 2019/1136
Identifier: 869632
Keywords: Paillier · Threshold decryption · Secure key generation


We consider the problem of securely generating the keys of the Paillier crypto system [11] with (t; n) threshold decryption, without a trusted dealer. Nishide and Sakurai [10] describe a solution, secure in the malicious model. We use their ideas to make a simpler solution for the semi-honest model, and further introduce a few optimisations. We implement the secure key generation protocol on a single computer, and consider its performance.