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

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Message Authentication,th the use of encryption and decryption. But, important as confidentiality is, modern cryptography goes far beyond this objective and message authentication and message integrity are perhaps even more important goals. In this chapter we will look at techniques that provide message integrity in the p

Innovative

Algorithmic Number Theory for Cryptography and Cryptanalysis: Primality, Factoring and Discrete Logy of the constructions and algorithms discussed. Also, computational number-theoretic problems which are presumed to be hard made their appearance and we mentioned, in particular, the integer factorization problem and the discrete logarithm problem. In the coming chapters we will study publickey cry

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AMOR

Public-Key Encryption,ion between two parties that do not have to share a common secret key. Public-key cryptography started with the realization that it should be possible to design encryption schemes in which it is computationally infeasible to find the decryption algorithm from the encryption one. This, in turn, entai

Obstruction

Digital Signatures,tance in fields like ecomerce and e-banking, where physical protection of exchanged data is impossible. A reasonable guarantee of data authenticity in the private-key setting can be obtained by using a MAC. However, the requirement that the parties share a secret key severely limits the applicabilit

wreathe

Identity-Based Cryptography,it the wide deployment of public-key cryptography, in particular, the problem of binding public keys with user identities. The basic idea of IBC starts from the realization that there is some minimal information that a user has to learn before communicating with another party, even in unencrypted fo