[Resource Topic] 2013/054: Joint Compartmented Threshold Access Structures

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Title:
Joint Compartmented Threshold Access Structures

Authors: Ali Aydın Selçuk, Ramazan Yılmaz

Abstract:

In this paper, we introduce the notion of a joint compartmented threshold access structure (JCTAS). We study the necessary conditions for the existence of an ideal and perfect secret sharing scheme and give a characterization of almost all ideal JCTASes. Then we give an ideal and almost surely perfect construction that realizes such access structures. We prove the asymptotic perfectness of this construction by the Schwartz-Zippel Lemma.

ePrint: https://eprint.iacr.org/2013/054

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