An Introduction to Mathematical Cryptography

 USD 69.99

 USD 69.99
Descripción de editorial
This selfcontained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online.
The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include:
classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithmbased cryptosystems, the RSA cryptosystem, and digital signatures;
fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms;
an indepth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairingbased cryptography, lattices, latticebased cryptography, and the NTRU cryptosystem.
The second edition of An Introduction
to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on latticebased signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.