Groth, J and Lu, S (2007) Verifiable shuffle of large size ciphertexts. In: Okamoto, T and Wang, X, (eds.) Public Key Cryptography - PKC 2007. (pp. 377 - 392). SPRINGER-VERLAG BERLIN
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A shuffle is a permutation and rerandomization of a set of cipher-texts. Among other things, it can be used to construct mix-nets that are used in anonymization protocols and voting schemes. While shuffling is easy, it is hard for an outsider to verify that a shuffle has been performed correctly. We suggest two efficient honest verifier zero-knowledge (HVZK) arguments for correctness of a shuffle. Our goal is to minimize round-complexity and at the same time have low communicational and computational complexity.The two schemes we suggest are both 3-move HVZK arguments for correctness of a shuffle. We first suggest a HVZK argument based on homomorphic integer commitments, and improve both on round complexity, communication complexity and computational complexity in comparison with state of the art. The second HVZK argument is based on homomorphic commitments over finite fields. Here we improve on the computational complexity and communication complexity when shuffling large ciphertexts.
|Title:||Verifiable shuffle of large size ciphertexts|
|Event:||10th International Conference on Practice and Theory in Public-Key Cryptography|
|Location:||Beijing, PEOPLES R CHINA|
|Dates:||2007-04-16 - 2007-04-20|
|Keywords:||shuffle, homomorphic commitment, homomorphic encryption, mix-net, honest verifier zero-knowledge, MIX-NET, EFFICIENT, SECURE|
|UCL classification:||UCL > School of BEAMS > Faculty of Engineering Science > Computer Science|
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