Ideal homomorphic secret sharing schemes over cyclic groups |
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| Authors: | Mulan Liu Zhanfei Zhou |
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| Affiliation: | (1) Institute of Systems Science, Chinese Academy of Sciences, 100080 Beijing, China;(2) Institute of Software, Chinese Academy of Sciences, 100080 Beijing, China |
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| Abstract: | For a cyclic group G and an access structure A, the sufficient and necessary condition under which A is G ideal homomorphic is given by using the fine representation of the corresponding matroid over the ring Z m . Furthermore, the classification of G ideal homomorphic graphic access structures is shown. |
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| Keywords: | secret sharing scheme ideal homomorphic secret sharing scheme cyclic group matroid fine representation of matroid |
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