[Resource Topic] 2006/044: Linear Integer Secret Sharing and Distributed Exponentiation

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Title:
Linear Integer Secret Sharing and Distributed Exponentiation

Authors: Ivan Damgard, Rune Thorbek

Abstract:

We introduce the notion of Linear Integer Secret-Sharing (LISS) schemes, and show constructions of such schemes for any access structure. We show that any LISS scheme can be used to build a secure distributed protocol for exponentiation in any group. This implies, for instance, distributed RSA protocols for arbitrary access structures and with arbitrary public exponents.

ePrint: https://eprint.iacr.org/2006/044

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