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Received June 9, 2014, Accepted September 22, 2014AbstractThe aim of this article is to present a cryptosystem with a new key exchange protocol based onDiophantine equations of polynomial type. Our protocol is inspired by that of H. Yosh whosesecurity comes from a translation of Diophantine equations. We suggest here a key exchangeprotocol relying on the hardness of solving Diophantine equations in the ring of

A key exchange protocol based on Diophantine equations and S-integers