STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
Public-key cryptosystems provably secure against chosen ciphertext attacks
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
A practical protocol for large group oriented networks
EUROCRYPT '89 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
How to withstand mobile virus attacks (extended abstract)
PODC '91 Proceedings of the tenth annual ACM symposium on Principles of distributed computing
How to share a function securely
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Witness-based cryptographic program checking and robust function sharing
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Adaptively secure multi-party computation
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Proactive public key and signature systems
Proceedings of the 4th ACM conference on Computer and communications security
Robust efficient distributed RSA-key generation
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Handbook of Applied Cryptography
Handbook of Applied Cryptography
Adaptive Security for Threshold Cryptosystems
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Security Proof for Partial-Domain Hash Signature Schemes
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Society and Group Oriented Cryptography: A New Concept
CRYPTO '87 A Conference on the Theory and Applications of Cryptographic Techniques on Advances in Cryptology
CRYPTO '89 Proceedings of the 9th Annual International Cryptology Conference on Advances in Cryptology
Shared Generation of Authenticators and Signatures (Extended Abstract)
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
Wallet Databases with Observers
CRYPTO '92 Proceedings of the 12th Annual International Cryptology Conference on Advances in Cryptology
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
Efficient Generation of Shared RSA Keys (Extended Abstract)
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
A Simplified Approach to Threshold and Proactive RSA
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
Cryptographic Counters and Applications to Electronic Voting
EUROCRYPT '01 Proceedings of the International Conference on the Theory and Application of Cryptographic Techniques: Advances in Cryptology
Practical Threshold RSA Signatures without a Trusted Dealer
EUROCRYPT '01 Proceedings of the International Conference on the Theory and Application of Cryptographic Techniques: Advances in Cryptology
Multiparty Computation from Threshold Homomorphic Encryption
EUROCRYPT '01 Proceedings of the International Conference on the Theory and Application of Cryptographic Techniques: Advances in Cryptology
Threshold Cryptosystems Secure against Chosen-Ciphertext Attacks
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Fully Distributed Threshold RSA under Standard Assumptions
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Sharing Decryption in the Context of Voting or Lotteries
FC '00 Proceedings of the 4th International Conference on Financial Cryptography
Adaptively-Secure Distributed Public-Key Systems
ESA '99 Proceedings of the 7th Annual European Symposium on Algorithms
PKC '01 Proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
Optimal-resilience proactive public-key cryptosystems
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
Replication is not needed: single database, computationally-private information retrieval
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
DIGITALIZED SIGNATURES AND PUBLIC-KEY FUNCTIONS AS INTRACTABLE AS FACTORIZATION
DIGITALIZED SIGNATURES AND PUBLIC-KEY FUNCTIONS AS INTRACTABLE AS FACTORIZATION
Robust threshold DSS signatures
EUROCRYPT'96 Proceedings of the 15th annual international conference on Theory and application of cryptographic techniques
The exact security of digital signatures-how to sign with RSA and Rabin
EUROCRYPT'96 Proceedings of the 15th annual international conference on Theory and application of cryptographic techniques
A threshold cryptosystem without a trusted party
EUROCRYPT'91 Proceedings of the 10th annual international conference on Theory and application of cryptographic techniques
Cryptographic protocols provably secure against dynamic adversaries
EUROCRYPT'92 Proceedings of the 11th annual international conference on Theory and application of cryptographic techniques
An efficient threshold public key cryptosystem secure against adaptive chosen ciphertext attack
EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
Public-key cryptosystems based on composite degree residuosity classes
EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
Secure distributed key generation for discrete-log based cryptosystems
EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
Computing inverses over a shared secret modulus
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Practical threshold signatures
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Adaptively secure threshold cryptography: introducing concurrency, removing erasures
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Strong Key-Insulated Signature Schemes
PKC '03 Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography: Public Key Cryptography
Efficient revocation and threshold pairing based cryptosystems
Proceedings of the twenty-second annual symposium on Principles of distributed computing
ACISP'07 Proceedings of the 12th Australasian conference on Information security and privacy
Threshold and revocation cryptosystems via extractable hash proofs
EUROCRYPT'11 Proceedings of the 30th Annual international conference on Theory and applications of cryptographic techniques: advances in cryptology
ASIACRYPT'05 Proceedings of the 11th international conference on Theory and Application of Cryptology and Information Security
Threshold cryptography in mobile ad hoc networks
SCN'04 Proceedings of the 4th international conference on Security in Communication Networks
Selectively traceable anonymity
PET'06 Proceedings of the 6th international conference on Privacy Enhancing Technologies
A generalization and a variant of two threshold cryptosystems based on factoring
ISC'07 Proceedings of the 10th international conference on Information Security
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We consider threshold cryptosystems over a composite modulus N where the factors of N are shared among the participants as the secret key. This is a new paradigm for threshold cryptosystems based on a composite modulus, differing from the typical treatment of RSA-based systems where a "decryption exponent" is shared among the participants. Our approach yields solutions to some open problems in threshold cryptography; in particular, we obtain the following: 1. Threshold Homomorphic Encryption. A number of applications (e.g., electronic voting or efficient multi-party computation) require threshold homomorphic encryption schemes. We present a protocol for threshold decryption of the homomorphic Goldwasser-Micali encryption scheme [34], answering an open question of [21]. 2. Threshold Cryptosystems as Secure as Factoring. We describe a threshold version of a variant of the signature standards ISO 9796-2 and PKCS#1 v1.5 (cf. [39, Section 11.3.4]), thus giving the first threshold signature scheme whose security (in the random oracle model) is equivalent to the hardness of factoring [12]. Our techniques may be adapted to distribute the Rabin encryption scheme [44] whose semantic security may be reduced to the hardness of factoring. 3. Efficient Threshold Schemes without a Trusted Dealer. Because our schemes only require sharing of N - which furthermore need not be a product of strong primes - our schemes are very efficient (compared to previous schemes) when a trusted dealer is not assumed and key generation is done in a distributed manner.Extensions to achieve robustness and proactivation are also possible with our schemes.