Browsing by Subject "Ciphers"
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Item Algebraic attacks : a survey(2007-12) Agrawal, Shweta Prem; Gal, A. (Anna)Algebraic attacks have recently acquired great importance in the area of cryptography, not only due to the ciphers they have been able to break, but more importantly, because the principle of algebraic attacks is very generic and can be applied to break large classes of ciphers. Several ciphers, previously considered secure and widely used in practice were found to be potentially vulnerable to algebraic attacks. In this survey, we examine algebraic attacks against both public and symmetric key ciphers. We discuss the Boolean functions used in the design of ciphers from the perspective of algebraic attacks, and consider the ”cryptographic” complexity and explicit construction of these functions. We also briefly look at recently discovered methods of solving certain systems of multivariate polynomial equations since algebraic attacks rely on being able to solve such systems of equations efficiently.Item The secrets behind cryptography : a mathematical overview(2010-08) Povondra, Amy Becker; Daniels, Mark L.; Armendáriz, Efraim P.Daily advancements in technology influence many aspects of society. In today’s political and economic era, the need for secure, computerized convenience is apparent. Cryptosystems play a major role for everyone, from an individual making an online purchase to the government communicating with an ally during wartime. As technology advances, so do cryptosystems. The author of this paper discusses different types of cryptosystems, from substitution ciphers to public key cryptography, and introduces the mathematical foundations of such systems.