Paper 2005/162 Original: eprint.iacr.org/2005/162 ↗

A Provably Secure and Efficient Verifiable Shuffle based on a Variant of the Paillier Cryptosystem

Lan Nguyen
Rei Safavi-Naini
Kaoru Kurosawa
Abstract

We propose a variant of the Paillier cryptosystem that improves efficiency in encryption, re-encryption and decryption while preserving the homomorphic property. We then use this variant to construct a new verifiable shuffle system and prove its security. We show that the new shuffle scheme has the least number of rounds and exponentiations compared to all known shuffle schemes. Finally, we show how to construct a publicly verifiable mix-net using the shuffle system.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2005-06-27: last updated
2005-06-04: published
Short URL
https://ia.cr/2005/162
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2005/162,
      author = {Lan Nguyen and Rei Safavi-Naini and Kaoru Kurosawa},
      title = {A Provably Secure and Efficient Verifiable Shuffle based on a Variant of the Paillier Cryptosystem},
      howpublished = {Cryptology {ePrint} Archive, Paper 2005/162},
      year = {2005},
      url = {https://eprint.iacr.org/2005/162}
}
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