Strongly ideal secret sharing schemes

@article{Phillips1992StronglyIS,
  title={Strongly ideal secret sharing schemes},
  author={S. J. Phillips and N. C. Phillips},
  journal={Journal of Cryptology},
  year={1992},
  volume={5},
  pages={185-191}
}
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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