Abstract
We present the mathematical model of Information security system based on the linear inhomogeneous Diophantine equation. Plain text is the solution of the Diophantine equation, cipher text is the right side of equation. We also present the method of finding this solution. It is based on construction of a system of equations the solution of which is equal to desired solution of the original Diophantine equation. The system of equations is constructed using some secret information.Cryptanalysis of described mathematical model demonstrates the potential of using Diophantine equations for the development of Information security systems despite the existing vulnerabilities. The use the Diophantine equations allows to construct the systems which have a large variety of equally probable keys. And only one key is correct.
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