Document Type: Research Paper


1 Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran

2 School of Mathematics, Iran University of Science and Technology, Tehran, Iran


In this paper,
we introduce a new verifiable multi-use multi-secret
sharing scheme based on automata and one-way hash function. The scheme has the
adversary fuzzy structure and satisfy the following properties:
1) The dealer can change the participants
and the adversary fuzzy structure without refreshing any participants' real-shadow.
2) The scheme is based on the inversion of weakly invertible
finite automata and its security depends on the properties of the one-way hash functions.
3) The scheme does not encounter time-consuming computations
like discrete logarithm problem.
4) The validity of the transmitted data can be verified by the combiner and participants.
5) Every participant has only one reusable real-shadow,
whereas the most of other existing schemes have more than one shadow.
In addition, the proposed scheme which is
based on automata has all the properties of a perfect scheme.
Finally, the comparisons
among other schemes and our scheme prove the efficiency of our scheme.


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