Optimal multiple assignment scheme for strongly secure ramp secret sharing schemes with general access structures

  • Matsumoto Ryutaroh
    Dept. of Communications and Computer Engineering, Tokyo Institute of Technology

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Iwamoto et al. proposed the strong security definition for ramp secret sharing schemes with general access structures, and also proposed an integer optimization approach to construct a secret sharing with the smallest share size and general access structure, based on a threshold secret sharing scheme. This note proves that if the underlying threshold scheme is strongly secure then the constructed multiple assignment scheme gives a strongly secure secret sharing scheme.

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