Repairable Threshold Secret Sharing Schemes

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Provided by: Cornell University
Topic: Security
Format: PDF
In this paper, the authors propose a class of new threshold secret sharing schemes with repairing function between shares. Specifically, each share, when it is broken or lost, can be repaired by some others without the help of the dealer. Further, a construction of such repairable threshold secret sharing schemes is designed by applying linearized polynomials and regenerating codes in distributed storage systems. In addition, a new repairing rate is introduced to characterize the performance and efficiency of the repairing function, and a tight upper bound is derived, which implies the optimality of repair.
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