Böcker i Discrete Mathematics and Its Applications-serien

Includes two chapters on various applications that cover topics such as electronic mail, Internet security, protocol layers and SSL, firewalls, client-server model and cookies, network security, wireless security, smart cards, and biometrics. This book provides information on cryptanalysis, primality testing, DES, and primitive roots.

Like its bestselling predecessor, this book develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. This edition now includes alternative coordinate systems and related computational issues, a more elementary treatment of the Tate???Lichtenbaum pairing, additional elliptic curve cryptosystems, and Doud??'s analytic method for computing torsion on elliptic curves over Q. It also contains new chapters on isogenies and hyperelliptic curves as well as discusses how to compute elliptic curves in some popular computer algebra systems. Basic exercises appear at the end of each chapter, with selected answers in an appendix.

Covers the constructions of designs, existence results, properties of designs, and applications of designs. This book contains chapters on the history of design theory, various codes, bent functions, and numerous designs as well as tables, including BIBDs, PBDs, MOLS, and Hadamard matrices.

Covers core areas such as sequences, recursions, generating functions, evaluation of sums, and graphs. This book discusses topics like partitions and polynomials, algebraic counting, and designs.

Offers an introduction to the areas of design theory as well as to more contemporary designs based on applications in a variety of fields. This work also introduces balanced designs and finite geometries. It then delves into balanced incomplete block designs, covering difference methods, residual and derived designs, and resolvability.

Covers the subject of computational group theory (CGT). This book describes the connections between the different aspects of CGT and other areas of computer algebra. It is suitable for graduate students who have some knowledge of group theory and computer algorithms.

Introduces the theory and algorithms involved in curve-based cryptography. This book provides ready-to-implement algorithms for the group operations and computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication method and provides algorithms.

Cryptography, in particular public-key cryptography, has emerged an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications. This title provides a treatment that introduces the practical aspects of both conventional and public-key cryptography.