MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  Shuffle for Paillier’s Encryption Scheme (2004)

Download:
pdf | ps
by Takao Onodera, Keisuke Tanaka
http://www.is.titech.ac.jp/research/research-report/C/C-193.ps.gz
Add To MetaCart

Abstract:

In this paper, we propose a zero-knowledge proof scheme of shuffle. Unlike the previous schemes [6, 9, 4], our scheme can be used as the shuffle of the elements encrypted by Paillier’s encryption scheme, which has an additive homomorphic property in the message part. The ElGamal encryption scheme, used in the previous schemes [6, 9, 4], does not have this property. Keywords: Paillier’s encryption scheme, zero-knowledge proof, shuffle 1

Citations

1496 Handbook of Applied Cryptography – Menezes, Oorschot, et al. - 1996
845 Probabilistic Encryption – Goldwasser, Micali - 1984
264 Public-Key Cryptosystems Based on Composite Degree Residuosity Classes. Eurocrypt ’99 – Paillier
124 Verifiable Secret-Ballot Elections – Benaloh - 1987
119 A new public key cryptosystem as secure as factoring – Okamoto, Uchiyama - 1998
117 An efficient off-line electronic cash system based on the representation problem – Brands - 1993
77 A robust and verifiable cryptographically secure election scheme – Cohen, Fisher - 1985
48 An efficient scheme for proving a shuffle – Furukawa, Sako - 2001
38 A new public key cryptosystem based on higher residues – Naccache, Stern - 1998
31 A generalisation, a simplification and some applications of Paillier’s probabilistic public-key system – Damgard, Jurik - 2001
27 A verifiable secret shuffle of homomorphic encryptions – Groth
12 A length-flexible threshold cryptosystem with applications – Damg˚ard, Jurik - 2003
11 On the security of modular exponentiation with application to the construction of pseudorandom generators – Goldreich, Rosen - 2000
8 An implementation of a universally verifiable electronic voting scheme based on shuffling – Furukawa, Miyauchi, et al. - 2002
6 Efficient, Verifiable Shuffle Decryption and Its Requirement of Unlinkability – Furukawa - 2004