Limits on the security of coin flips when half the processors are faulty
STOC '86 Proceedings of the eighteenth annual ACM symposium on Theory of computing
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
Verifiable secret sharing and multiparty protocols with honest majority
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
How to share a function securely
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Fair exchange with a semi-trusted third party (extended abstract)
Proceedings of the 4th ACM conference on Computer and communications security
Optimistic protocols for fair exchange
Proceedings of the 4th ACM conference on Computer and communications security
ACM Transactions on Computer Systems (TOCS)
Communications of the ACM
Robust threshold DSS signatures
Information and Computation
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
Optimistic Fair Secure Computation
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
CRYPTO '89 Proceedings of the 9th Annual International Cryptology Conference on Advances in Cryptology
Robust and Efficient Sharing of RSA Functions
CRYPTO '96 Proceedings of the 16th Annual International Cryptology Conference on Advances in Cryptology
Sharing Decryption in the Context of Voting or Lotteries
FC '00 Proceedings of the 4th International Conference on Financial Cryptography
Some Remarks on a Fair Exchange Protocol
PKC '00 Proceedings of the Third International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
An Efficient Non-repudiation Protocol
CSFW '97 Proceedings of the 10th IEEE workshop on Computer Security Foundations
Breaking and repairing optimistic fair exchange from PODC 2003
Proceedings of the 3rd ACM workshop on Digital rights management
Completely fair SFE and coalition-safe cheap talk
Proceedings of the twenty-third annual ACM symposium on Principles of distributed computing
Secure Distributed Key Generation for Discrete-Log Based Cryptosystems
Journal of Cryptology
NetBill security and transaction protocol
WOEC'95 Proceedings of the 1st conference on USENIX Workshop on Electronic Commerce - Volume 1
Complete fairness in secure two-party computation
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
How to simultaneously exchange a secret bit by flipping a symmetrically-biased coin
SFCS '83 Proceedings of the 24th Annual Symposium on Foundations of Computer Science
Practical threshold signatures
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Optimistic fair exchange in a multi-user setting
PKC'07 Proceedings of the 10th international conference on Practice and theory in public-key cryptography
Fair secure two-party computation
EUROCRYPT'03 Proceedings of the 22nd international conference on Theory and applications of cryptographic techniques
Aggregate and verifiably encrypted signatures from bilinear maps
EUROCRYPT'03 Proceedings of the 22nd international conference on Theory and applications of cryptographic techniques
Threshold RSA for dynamic and ad-hoc groups
EUROCRYPT'08 Proceedings of the theory and applications of cryptographic techniques 27th annual international conference on Advances in cryptology
Legally-enforceable fairness in secure two-party computation
CT-RSA'08 Proceedings of the 2008 The Cryptopgraphers' Track at the RSA conference on Topics in cryptology
Privacy-preserving set operations
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
Resource fairness and composability of cryptographic protocols
TCC'06 Proceedings of the Third conference on Theory of Cryptography
Optimistic fair exchange of digital signatures
IEEE Journal on Selected Areas in Communications
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A threshold decryption scheme is a multi-party public key cryptosystem that allows any sufficiently large subset of participants to decrypt a ciphertext, but disallows the decryption otherwise. Many threshold cryptographic schemes have been proposed so far, but fairness is not generally considered in this earlier work. In this paper, we present fair threshold decryption schemes, where either all of the participants can decrypt or none of them can. Our solutions employ semi-trusted third parties (STTP) and offline semi-trusted third parties (OTTP) previously used for fair exchange. We consider a number of variants of our schemes to address realistic alternative trust scenarios. Although we describe our schemes using a simple hashed version of ElGamal encryption, our methods generalise to other threshold decryption schemes and threshold signature schemes as well.