Cryptographic Boolean Functions and Applications, Second 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 concise 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 in response, the authors have prepared a new chapter on special functions. The new edition brings 100 completely new references and an expansion of 50 new pages, along with heavy revision throughout the text.
1. Cover image - p. iv 2. Title page - p. iv 3. Table of Contents - p. iv 4. Copyright - p. iv 5. Dedication - p. v 6. Preface - p. xi 7. Chapter 1: A Bit of History - p. xii 8. Chapter 2: Fourier Analysis of Boolean Functions - p. 5 9. Chapter 3: Avalanche and Propagation Criteria - p. 29 10. Chapter 4: Correlation Immune and Resilient Boolean Functions - p. 54 11. Chapter 5: Bent Boolean Functions - p. 82 12. Chapter 6: Special Types of Boolean Functions - p. 108 13. Chapter 7: Stream Cipher Design - p. 142 14. Chapter 8: Block Ciphers - p. 185 15. Chapter 9: Boolean Cayley Graphs - p. 221 16. Bibliography - p. 239 17. Index - p. 271
Cryptographic Boolean Functions and Applications, Second 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 concise 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 in response, the authors have prepared a new chapter on special functions. The new edition brings 100 completely new references and an expansion of 50 new pages, along with heavy revision throughout the text.
1. Cover image - p. iv 2. Title page - p. iv 3. Table of Contents - p. iv 4. Copyright - p. iv 5. Dedication - p. v 6. Preface - p. xi 7. Chapter 1: A Bit of History - p. xii 8. Chapter 2: Fourier Analysis of Boolean Functions - p. 5 9. Chapter 3: Avalanche and Propagation Criteria - p. 29 10. Chapter 4: Correlation Immune and Resilient Boolean Functions - p. 54 11. Chapter 5: Bent Boolean Functions - p. 82 12. Chapter 6: Special Types of Boolean Functions - p. 108 13. Chapter 7: Stream Cipher Design - p. 142 14. Chapter 8: Block Ciphers - p. 185 15. Chapter 9: Boolean Cayley Graphs - p. 221 16. Bibliography - p. 239 17. Index - p. 271