Cryptographic Boolean Functions and Applications

Cryptographic Boolean Functions and Applications 2^nd edition is designed to be a comprehensive reference for the use of Boolean functions in modern cryptography. While the vast majority of research on cryptographic Boolean functions has been achieved since the 1970s, when cryptography began to be widely used in everyday transactions, in particular banking, relevant material is scattered over hundreds of journal articles, conference proceedings, books, reports and notes, some of them only available online. This book follows the previous edition in sifting through this compendium and gathering the most significant information in one complete reference book. The work therefore encompasses over 600 citations, covering every aspect of the applications of cryptographic Boolean functions. Since 2008 the subject has seen a very large number of new results and the authors have prepared a new chapter on special functions in response. The new edition brings 100 completely new references and an expansion of 50 new pages as well as heavy revision throughout the text.

• Foundational approach beginning with the basics of the necessary theory stretching to more advanced coverage quickly, but in logical progression, helping any qualified mathematician or computer scientist to enter the subject without extensive training
• Major concepts are presented with complete proofs, but the emphasis is on ways in which the theory can be applied, helping researchers gain an understanding of results, and practitioners to see how to apply them
• An extensive list of references including 100 new to this edition has been chosen to capture the most important and relevant results from a scattered literature, saving the experienced researcher a huge amount of time that is otherwise spent searching for information
• In this 40% revised or new 2^nd edition, a chapter on special functions and all-new numerical examples have been added to make the book more accessible to practitioners and engineering students