This self-contained 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. Thebook covers a variety of topics that are considered central to mathematical cryptography. Key topics include: - classical cryptographic constructions, suchas Diffie-Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; - fundamental mathematical tools forcryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; - an in-depth treatment of important recent cryptographic innovations. Detailed introduction to elliptic curves and how they're used in cryptography, including the ‘hot’ recenttopic of elliptic curve pairing-based cryptography Detailed introduction to lattices and lattice based cryptography Provides an entry for graduate studentsinto an active field of research Includes exercises and examples at the end of each section Will become a standard reference for researchers in the field. INDICE: An Introduction to Cryptography.- Discrete Logarithms and Diffie-Hellman.- Integer Factorization and RSA.- Probability Theory and Information Theory.- Elliptic Curves and Cryptography.- Lattices and Cryptography.- Digital Signatures.- Additional Topics in Cryptology.
- ISBN: 978-0-387-77993-5
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 550
- Fecha Publicación: 01/08/2008
- Nº Volúmenes: 1
- Idioma: Inglés