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INTRODUCTION RSA was first published in 1977 and since then it has been the cryptosystem that has been most widely used for encryption and decryption of data In Don Bonehs paper entitled Twenty Years of Attacks on the RSA Cryptosystem he pointed out several attacks that have been mounted against this cryptosystem And the conclusion that he made at the end of his paper was that there has not yet been any devastating attack and the attacks that have been mounted so far are against the implementation of the cryptosystem In this term paper we would like to explore further the various attacks that are mentioned in Bonehs paper We have divided our paper into 4 parts based on that 4 categories of attacks mentioned by Boneh 1Elementary attacks 2Low Private Exponent attacks 3Low Public Exponent attacks 4Implementation attacks We will approach each attack by describing the idea behind each attack the implementation of the attacks and the steps that we can take to prevent such attacks Elementary Attacks First of all we will explain the first category which is the elementary attack Although there are many attacks that can be categorized into this category we will only explain the common modulus and blinding attack We will describe the attacks and how the each attack is carried out Then we will try to simulate each attack by using magma Finally we will give some ways to avoid the attack Low Private Exponent Attacks The second category of attacks that we will explain is low private exponent attack We will explain why such attack can happen Then we will describe the attack Finally we will explain some techniques that can be implemented to avoid this attack For every technique we will explain how the technique can be implemented and why the technique works Low Public Exponent Hastads Broadcast Attack Franklin-Reiter Related Message
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