Abstract
In spite of the progress in computational complexity, it is still true that cryptosystems are tested by subjecting them to cryptanalytic attacks by experts. Most of the cryptosystems that have been publicly proposed in the last decade have been broken. This chapter outlines a selection of the attacks that have been used and explains some of the basic tools available to the cryptanalyst. Attacks on knapsack cryptosystems, congruential generston, and a variety of two-key secrecy and signature schemes are discussed. There is also a brief discussion of the status of the security of cryptosystems for which there are no known feasible attacks, such as the Rivest-Shamir-Adleman (RSA), discrete exponentiation, and Data Encryption Standard (DES) cryptosystems.
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