Mathematical Attacks on RSA Cryptosystem‪.‬

Abstract: In this paper some of the most common attacks against Rivest, Shamir, and Adleman (RSA) cryptosystem are presented. We describe the integer factoring attacks, attacks on the underlying mathematical function, as well as attacks that exploit details in implementations of the algorithm. Algorithms for each type of attacks are developed and analyzed by their complexity, memory requirements and area of usage. Key words: RSA, cryptography, cryptanalysis, attack, factorization, low-exponent, one-way function