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
Private Computations Over the Integers
SIAM Journal on Computing
Communications of the ACM
Cryptography: Theory and Practice
Cryptography: Theory and Practice
Cheating Prevention in Secret Sharing
ACISP '00 Proceedings of the 5th Australasian Conference on Information Security and Privacy
Unconditionally Secure Proactive Secret Sharing Scheme with Combinatorial Structures
SAC '99 Proceedings of the 6th Annual International Workshop on Selected Areas in Cryptography
Optimal Black-Box Secret Sharing over Arbitrary Abelian Groups
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Generalized Secret Sharing and Monotone Functions
CRYPTO '88 Proceedings of the 8th Annual International Cryptology Conference on Advances in Cryptology
Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
Proactive Secret Sharing Or: How to Cope With Perpetual Leakage
CRYPTO '95 Proceedings of the 15th Annual International Cryptology Conference on Advances in Cryptology
Efficient Dynamic-Resharing "Verifiable Secret Sharing" Against Mobile Adversary
ESA '95 Proceedings of the Third Annual European Symposium on Algorithms
A practical scheme for non-interactive verifiable secret sharing
SFCS '87 Proceedings of the 28th 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
Linear integer secret sharing and distributed exponentiation
PKC'06 Proceedings of the 9th international conference on Theory and Practice of Public-Key Cryptography
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The commonly used technique for cheating detection in verifiable secret sharing (VSS) require public key systems. Based on linear integer secret sharing (LISS) scheme, this paper presents a private verifiable protocol over arbitrary access structure without public key systems, which can avoid cheating both from participants and dealers. For further consideration of share refreshing and renewal, this paper shows the proactive property of our scheme with new method. Furthermore, this paper applies combinatorial structure into the proactive scheme to reduce the time of the computation.