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An analysis of attack on RSA cryptosystem through formal methods

Abstract
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The analysis of the RSA cryptosystem's security highlights vulnerabilities related to the size of the private exponent d when it is less than n^0.292, as indicated by Wiener's attack. This paper seeks to extend the range of d up to n^0.5, enhancing the encryption's resilience against potential attacks. By scrutinizing various factors influencing encryption algorithms' performance, this study aims to contribute to the development of more secure communication protocols.