STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
Completeness theorems for non-cryptographic fault-tolerant distributed computation
STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
Multiparty unconditionally secure protocols
STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
Non-cryptographic fault-tolerant computing in constant number of rounds of interaction
Proceedings of the eighth annual ACM Symposium on Principles of distributed computing
The round complexity of secure protocols
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
A minimal model for secure computation (extended abstract)
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Simplified VSS and fast-track multiparty computations with applications to threshold cryptography
PODC '98 Proceedings of the seventeenth annual ACM symposium on Principles of distributed computing
Communications of the ACM
Secure Distributed Linear Algebra in a Constant Number of Rounds
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on 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
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Private Simultaneous Messages Protocols with Applications
ISTCS '97 Proceedings of the Fifth Israel Symposium on the Theory of Computing Systems (ISTCS '97)
Modern Computer Algebra
Protocols for secure computations
SFCS '82 Proceedings of the 23rd Annual Symposium on Foundations of Computer Science
How to generate and exchange secrets
SFCS '86 Proceedings of the 27th Annual Symposium on Foundations of Computer Science
Keyword search and oblivious pseudorandom functions
TCC'05 Proceedings of the Second international conference on Theory of Cryptography
Privacy-preserving set operations
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
Efficient Disjointness Tests for Private Datasets
ACISP '08 Proceedings of the 13th Australasian conference on Information Security and Privacy
Efficient Secure Linear Algebra in the Presence of Covert or Computationally Unbounded Adversaries
CRYPTO 2008 Proceedings of the 28th Annual conference on Cryptology: Advances in Cryptology
Unconditionally secure disjointness tests for private datasets
International Journal of Applied Cryptography
Efficient and secure protocols for privacy-preserving set operations
ACM Transactions on Information and System Security (TISSEC)
Fast computation on encrypted polynomials and applications
CANS'11 Proceedings of the 10th international conference on Cryptology and Network Security
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We study the design of efficient and private protocols for polynomial operations in the shared-coefficients setting. We propose efficient protocols for polynomial multiplication, division with remainder, polynomial interpolation, polynomial gcd, and a few other operations. All the protocols introduced in this paper are constant-round, and more efficient than the general MPC. The protocols are all composable, and can be combined to perform more complicated functionalities. We focus on using a threshold additively homomorphic public key scheme due to the applications of our protocols. But, our protocols can also be securely computed in the information-theoretic setting. Finally, we mention some applications of our protocols to privacy-preserving set-operations.