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Titlebook: Introduction to Cryptography with Maple; José Luis Gómez Pardo Textbook 2013 Springer-Verlag Berlin Heidelberg 2013 Maple.algorithmic numb

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Textbook 2013in cryptanalytic attacks against them. Discussion of the theoretical aspects, emphasizing precise security definitions based on methodological tools such as complexity and randomness, and of the mathematical aspects, with emphasis on number-theoretic algorithms and their applications to cryptography
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Message Authentication,cation and message integrity are perhaps even more important goals. In this chapter we will look at techniques that provide message integrity in the private-key setting, in which the honest parties share some secret key. These techniques will try to guarantee that any modification of the message will be detected by the honest parties.
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,Introduction to Public-Key Cryptography: The Diffie–Hellman Protocol, present an introduction to the ideas underlying public-key cryptography, which removes this inconvenience. We illustrate some of these ideas with the very first public-key protocol, namely, the Diffie-Hellman key agreement.
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Private-Key Encryption,resources are limited. The security notions also make use of the concepts of one-way function and pseudo-random generator, which are of crucial importance for cryptography and are also introduced here.
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