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Abstract
Cheating prevention is an important cryptographic problem in secret-sharing schemes. In this paper, two constructions of 1-cheating immune secret-sharing functions are presented. Then a method for constructing new 1-cheating immune secret-sharing functions from known ones is given.
Acknowledgements
The authors would like to thank the anonymous reviewers for their comments that improved the technical and the editorial quality of this paper. This work is supported by the National Natural Science Foundation of China (No. 61003299), the Foundation of Science and Technology on Communication Security Laboratory (No.9140C1103031002), the Fundamental Research Funds for the Central Universities, and the 111 Project (No. B08038).