Resumen de Sharing DSS by the Chinese Remainder Theorem

Kamer Kaya, Ali Aydin Selçuk

• In this paper, we propose a new threshold scheme for the Digital Signature Standard (DSS) using Asmuth�Bloom secret sharing based on the Chinese Remainder Theorem (CRT). To achieve the desired result, we first show how to realize certain other threshold primitives using Asmuth�Bloom secret sharing, such as joint random secret sharing, joint exponential random secret sharing, and joint exponential inverse random secret sharing. We prove the security of our scheme against a static adversary. To the best of our knowledge, this is the first provably secure threshold DSS scheme based on CRT.