International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Paper: Efficient RSA Key Generation and Threshold Paillier in the Two-Party Setting

Authors:
Carmit Hazay
Gert Læssøe Mikkelsen
Tal Rabin
Tomas Toft
Angelo Agatino Nicolosi
Download:
DOI: 10.1007/s00145-017-9275-7
Search ePrint
Search Google
Abstract: The problem of generating an RSA composite in a distributed manner without leaking its factorization is particularly challenging and useful in many cryptographic protocols. Our first contribution is the first non-generic fully simulatable protocol for distributively generating an RSA composite with security against malicious behavior. Our second contribution is a complete Paillier (in: EUROCRYPT, pp 223–238, 1999) threshold encryption scheme in the two-party setting with security against malicious attacks. We further describe how to extend our protocols to the multiparty setting with dishonest majority. Our RSA key generation protocol is comprised of the following subprotocols: (i) a distributed protocol for generation of an RSA composite and (ii) a biprimality test for verifying the validity of the generated composite. Our Paillier threshold encryption scheme uses the RSA composite for the public key and is comprised of the following subprotocols: (i) a distributed generation of the corresponding secret key shares and (ii) a distributed decryption protocol for decrypting according to Paillier.
BibTeX
@article{jofc-2019-29502,
  title={Efficient RSA Key Generation and Threshold Paillier in the Two-Party Setting},
  journal={Journal of Cryptology},
  publisher={Springer},
  volume={32},
  pages={265-323},
  doi={10.1007/s00145-017-9275-7},
  author={Carmit Hazay and Gert Læssøe Mikkelsen and Tal Rabin and Tomas Toft and Angelo Agatino Nicolosi},
  year=2019
}