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Abstract: The main contribution of this thesis is a simplification, a generalization and some modifications of the homomorphic cryptosystem proposed by Paillier in 1999, and several cryptological protocols that follow from these changes. (Update)
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BibTeX entry: (Update)
@misc{ jurik-extensions,
author = "Mads Jurik",
title = "Extensions to the Paillier Cryptosystem with Applications to Cryptological
Protocols",
url = "citeseer.ist.psu.edu/jurik03extensions.html" }
Citations (may not include all citations):45 a Simplification and some Applications of Paillier's Probabi.. (context) - Damgard, Jurik et al. - 2001
45 a Simplification and some Applications of Paillier's Probabi.. (context) - Damgard, Jurik et al. - 2000
27 cient Proofs that a Committed Number Lies in an Interval (context) - Boudot - 2000
26 Shamir: How to Prove Yourself: Practical solutions to identi.. (context) - Fiat - 1987
25 An optimally robust hybrid mix network - Jakobsson, Juels - 2001
22 multisignature and blind signature schemes based on the Gap-.. (context) - Boldyreva, cient - 2002
21 Communications of the ACM (context) - Shamir, Share et al. - 1979
20 cient Receipt-Free Voting based on Homomorphic Encryption (context) - Hirt, Sako - 2000
18 Pedersen: Wallet Databases with observers (context) - Chaum - 1992
15 IEEE Transactions on Information Theory (context) - Gamal, cryptosystem et al. - 1985
15 Quisquater: A Practical Zero-Knowledge Protocol fitted to Se.. (context) - Guillou - 1988
12 Schoenmakers: Proofs of Partial Knowledge and Simplified Des.. (context) - Cramer, Damgard - 1994
11 cient Multiparty Computations Secure against an Adaptive Adv.. (context) - Cramer, Damgard et al. - 1999
11 Wigderson: How to play ANY mental game or A Completeness The.. (context) - Goldreich, Micali - 1987
9 cient Distributed RSAkey Generation (context) - Frankel, MacKenzie et al. - 1998
8 cient Computation Modulo a Shared Secret with Application to.. (context) - Algesheimer, Camenisch et al. - 2002
5 Shacham: Short Signatures from the Weil Pairing (context) - Boneh, Lynn - 2001
5 Journal of Cryptology (context) - Canetti, Composition et al. - 2000
5 Koprowski: Practical Threshold RSA Signatures Without a Trus.. (context) - Damgard - 2001
5 Advances in Cryptology - EUROCRYPT (context) - Shoup, Signatures - 2000
5 Uchiyama: A New Public-Key Cryptosystem as Secure as Factori.. (context) - Okamoto - 1998
5 Stern: Sharing Decryption in the Context of Voting or Lotter.. (context) - Fouque, Poupard - 2000
5 MIT laboratory of computer science (context) - Micali, Key - 1995
5 Shallit: Algorithmic Number Theory (context) - Bach - 1996
4 Schoenmakers: A secure and optimally e#cient multi-authority.. (context) - Cramer, Gennaro - 1997
4 Okamoto: Statistical Zero Knowledge Protocols to Prove Modul.. (context) - Fujisaki - 1997
4 National Institute of Standards and Technology (context) - Shamir, Escrow et al. - 1995
3 Beaver: Non-Cryptographic Fault-Tolerant Computing in a Cons.. (context) - Bar-Ilan - 2012
3 Advances in Cryptology - ASIACRYPT (context) - Abe, Permutation - 1999
3 Advances in Cryptology - EUROCRYPT (context) - Paillier, based et al. - 1999
3 Nielsen: Multiparty Computation from Threshold Homomorphic E.. (context) - Cramer, Damgard - 2001
2 Jurik: A Length-Flexible Threshold Cryptosystem with Applica.. (context) - Damgard - 2003
2 Yung: Multi-authority Secret-Ballot Elections with Linear Wo.. (context) - Cramer, Franklin et al. - 1996
2 Shoup: Universal Hash Proofs and a Paradigm for Adaptive Cho.. (context) - Cramer - 2002
2 Rosen: On the security of modular exponentiation with applic.. (context) - Goldreich - 2000
2 Jurik: A Length-Flexible Threshold Cryptosystem with Applica.. (context) - Damgard - 2003
2 Advances in Cryptology - CRYPTO (context) - Schoenmakers, Publicly et al. - 1999
2 Goldwasser: Verifiable Partial Key Escrow (context) - Bellare - 1997
2 Shub: A simple secure unpredictable pseudorandom number gene.. (context) - Blum, Blum - 1986
2 Howgrave-Graham: The bit security and Paillier's encryption .. (context) - Catalano, Gennaro - 2001
2 Niemi: Secure Vickrey Auctions without Threshold Trust (context) - Asokan, Lipmaa - 2001
1 Advances in Cryptology - EUROCRYPT (context) - Abe, Mix-Net et al. - 1998
1 Hoshino: Remarks on Mix-network Based on Permutation Network.. (context) - Abe - 2001
1 Stern: Practical Multi-Candidate Election System (context) - Baudron, Fouque et al. - 2001
1 Ohkubo: A Length-Invariant Hybrid Mix (context) - Abe - 2000
1 Kurosawa: How to Break a Practical MIX and Design a New One (context) - Desmedt - 2000
1 Ohta: A Practical Secret Voting Scheme for Large Scale Elect.. (context) - Fujioka, Okamoto - 1993
1 Yufeng: Partial Key Escrow Monitoring Scheme (context) - Shaoquan - 2002
1 Journal of the ACM (context) - Waksman, Network - 1968
1 Fujisaki: A Statistically-Hiding Integer Commitment Scheme B.. (context) - Damgard - 2002
1 BRICS Report Series (context) - Groth, From et al. - 2001
1 Jurik: Scalable Key-Escrow (context) - Damgard - 2003
1 Yung: Self-Tallying Elections and Perfect Ballot Secrecy (context) - Kiayias - 2002
1 Nielsen: A Generalization of Paillier's Public-Key System wi.. (context) - Damgard, Jurik
1 Information and Communications Security (context) - Mao, Partial et al. - 1997
1 Shamir: Partial Key Escrow (context) - Micali - 1996
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