Mathematical Foundations of Public Key Cryptography

CRC Press

In Mathematical Foundations of Public Key Cryptography, the authors integrate the results of more than 20 years of research and teaching experience to help students bridge the gap between math theory and crypto practice. The book provides a theoretical structure of fundamental number theory and algebra knowledge supporting public-key cryptography.\n\nRather than simply combining number theory and modern algebra, this textbook features the interdisciplinary characteristics of cryptography\u2014revealing the integrations of mathematical theories and public-key cryptographic applications. Incorporating the complexity theory of algorithms throughout, it introduces the basic number theoretic and algebraic algorithms and their complexities to provide a preliminary understanding of the applications of mathematical theories in cryptographic algorithms. \n\nSupplying a seamless integration of cryptography and mathematics, the book includes coverage of elementary number theory; algebraic struc.