Strongly ideal secret sharing schemes |
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Authors: | Steven J. Phillips Nicholas C. Phillips |
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Affiliation: | (1) Computer Science Department, 94305 Stanford, CA, USA;(2) Computer Science Department, Southern Illinois University, 62901 Carbondale, IL, USA |
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Abstract: | We define strongly ideal secret sharing schemes to be ideal secret sharing schemes in which certain natural requirements are placed on the decoder. We prove an information-theoretic characterization of perfect schemes, and use it to determine which access structures can be encoded by strongly ideal schemes. We also discuss a hierarchy of secret sharing schemes that are more powerful than strongly ideal schemes. |
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Keywords: | Secret sharing Ideal schemes Access structures Perfect security |
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