Algebra for Cryptologists

This textbook provides an introduction to the mathematics§on which modern cryptology is based. It covers not only public key§cryptography, the glamorous component of modern cryptology, but also pays§considerable attention to secret key cryptography, its workhorse in practice.§§Modern cryptology has been described as the science of§the integrity of information, covering all aspects like confidentiality,§authenticity and non-repudiation and also including the protocols required for achieving§these aims. In both theory and practice it requires notions and constructions§from three major disciplines: computer science, electronic engineering and§mathematics. Within mathematics, group theory, the theory of finite fields, and§elementary number theory as well as some topics not normally covered in courses§in algebra, such as the theory of Boolean functions and Shannon theory are§involved.§Although essentially self-contained, a degree of§mathematical maturity on the part of the reader is assumed, corresponding to§his or her background in computer science or engineering. Algebra for Cryptologists is a textbook for an introductory course§in cryptography or an upper undergraduate course in algebra, or for self-study§in preparation for postgraduate study in cryptology.§