Proceedings of CRYPTO 84 on Advances in cryptology
An explication of secret sharing schemes
Designs, Codes and Cryptography
Geometric secret sharing schemes and their duals
Designs, Codes and Cryptography
Fully dynamic secret sharing schemes
CRYPTO '93 Proceedings of the 13th annual international cryptology conference on Advances in cryptology
Communications of the ACM
How to (Really) Share a Secret
CRYPTO '88 Proceedings of the 8th Annual International Cryptology Conference on Advances in Cryptology
On the Size of Shares for Secret Sharing Schemes
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
Threshold Schemes with Disenrollment
CRYPTO '92 Proceedings of the 12th Annual International Cryptology Conference on Advances in Cryptology
Conference Key Agreement from Secret Sharing
ACISP '99 Proceedings of the 4th Australasian Conference on Information Security and Privacy
Efficient and Unconditionally Secure Verifiable Threshold Changeable Scheme
ACISP '01 Proceedings of the 6th Australasian Conference on Information Security and Privacy
Size of Broadcast in Threshold Schemes with Disenrollment
ACISP '02 Proceedings of the 7th Australian Conference on Information Security and Privacy
Cheating Prevention in Linear Secret Sharing
ACISP '02 Proceedings of the 7th Australian Conference on Information Security and Privacy
Threshold changeable secret sharing schemes revisited
Theoretical Computer Science
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The ways the threshold parameter can be modified after the setup of a secret sharing scheme is the main theme of this work. The considerations are limited to the case when there are no secure channels. First we motivate the problem and discuss methods of threshold change when the dealer is still active and can use broadcasting to implement the change required. Next we study the case when participants themselves initiate the change of threshold without the dealer's help. A general model for threshold changeable secret sharing is developed and two constructions are given. The first generic construction allows the design of a threshold changeable secret sharing scheme which can be implemented using the Shamir approach. The second construction is geometrical in nature and is optimal in terms of the size of shares. The work is concluded by showing that any threshold scheme can be given some degree of threshold change capability.