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
Founding crytpography on oblivious transfer
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
Privacy preserving auctions and mechanism design
Proceedings of the 1st ACM conference on Electronic commerce
The round complexity of verifiable secret sharing and secure multicast
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
One-Round Secure Computation and Secure Autonomous Mobile Agents
ICALP '00 Proceedings of the 27th International Colloquium on Automata, Languages and Programming
Parallel Coin-Tossing and Constant-Round Secure Two-Party Computation
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
Secure Distributed Linear Algebra in a Constant Number of Rounds
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
Security with Low Communication Overhead
CRYPTO '90 Proceedings of the 10th Annual International Cryptology Conference on Advances in Cryptology
Fair Computation of General Functions in Presence of Immoral Majority
CRYPTO '90 Proceedings of the 10th Annual International Cryptology Conference on Advances in Cryptology
Non-Interactive CryptoComputing For NC1
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
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)
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
General secure multi-party computation from any linear secret-sharing scheme
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Minimal-latency secure function evaluation
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
On 2-Round Secure Multiparty Computation
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Verifying and decoding in constant depth
Proceedings of the thirty-ninth annual ACM symposium on Theory of computing
A (de)constructive approach to program checking
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Cryptography with constant computational overhead
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Improved Garbled Circuit: Free XOR Gates and Applications
ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
Founding Cryptography on Oblivious Transfer --- Efficiently
CRYPTO 2008 Proceedings of the 28th Annual conference on Cryptology: Advances in Cryptology
Evaluating branching programs on encrypted data
TCC'07 Proceedings of the 4th conference on Theory of cryptography
Efficient multi-party computation over rings
EUROCRYPT'03 Proceedings of the 22nd international conference on Theory and applications of cryptographic techniques
Some applications of polynomials for the design of cryptographic protocols
SCN'02 Proceedings of the 3rd international conference on Security in communication networks
TAMC'07 Proceedings of the 4th international conference on Theory and applications of models of computation
Cryptography with constant input locality
CRYPTO'07 Proceedings of the 27th annual international cryptology conference on Advances in cryptology
Worry-free encryption: functional encryption with public keys
Proceedings of the 17th ACM conference on Computer and communications security
From secrecy to soundness: efficient verification via secure computation
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming
Secure multiparty computation with minimal interaction
CRYPTO'10 Proceedings of the 30th annual conference on Advances in cryptology
Efficient and secure evaluation of multivariate polynomials and applications
ACNS'10 Proceedings of the 8th international conference on Applied cryptography and network security
Key-dependent message security: generic amplification and completeness
EUROCRYPT'11 Proceedings of the 30th Annual international conference on Theory and applications of cryptographic techniques: advances in cryptology
Randomly encoding functions: a new cryptographic paradigm
ICITS'11 Proceedings of the 5th international conference on Information theoretic security
Generic constant-round oblivious sorting algorithm for MPC
ProvSec'11 Proceedings of the 5th international conference on Provable security
Cryptography in constant parallel time
Cryptography in constant parallel time
From randomizing polynomials to parallel algorithms
Proceedings of the 3rd Innovations in Theoretical Computer Science Conference
On beating the hybrid argument
Proceedings of the 3rd Innovations in Theoretical Computer Science Conference
Gate evaluation secret sharing and secure one-round two-party computation
ASIACRYPT'05 Proceedings of the 11th international conference on Theory and Application of Cryptology and Information Security
Founding cryptography on tamper-proof hardware tokens
TCC'10 Proceedings of the 7th international conference on Theory of Cryptography
Share conversion, pseudorandom secret-sharing and applications to secure computation
TCC'05 Proceedings of the Second international conference on Theory of Cryptography
Secure computation of constant-depth circuits with applications to database search problems
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
TCC'06 Proceedings of the Third conference on Theory of Cryptography
All-But-Many lossy trapdoor functions
EUROCRYPT'12 Proceedings of the 31st Annual international conference on Theory and Applications of Cryptographic Techniques
Foundations of garbled circuits
Proceedings of the 2012 ACM conference on Computer and communications security
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Various information-theoretic constant-round secure multiparty protocols are known for classes such as NC1 and polynomial-size branching programs [1,13,18,3,19,10]. All these protocols have a small probability of failure, or alternatively use an expected constant number of rounds, suggesting that this might be an inherent phenomenon. In this paper we prove that this is not the case by presenting several constructions of perfect constant-round protocols.Our protocols are obtained using randomizing polynomials - a recently introduced representation [19], which naturally relaxes the standard polynomial representation of boolean functions. Randomizing polynomials represent a function f by a low-degree mapping from its inputs and independent random inputs to a vector of outputs, whose distribution depends only on the value of f. We obtain several constructions of degree-optimal perfect randomizing polynomials, whose distinct output distributions are perfectly separated. These results on randomizing polynomials are of independent complexity-theoretic interest.