Cryptographic Boolean Functions and Applications (2nd Ed.)

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Language: English

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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. A Bit of History2. Fourier Analysis of Boolean Functions3. Avalanche and Propagation Criteria4. Correlation Immune and Resilient Boolean Functions5. Bent Boolean Functions6. Special Types of Boolean Functions7. Stream Cipher Design8. Block Ciphers9. Boolean Cayley Graphs

Researchers in cryptography, engineers and scientists who are involved in designing or implementing cryptographic algorithms or protocols, engineers and scientists who want to have a reference for the use of Boolean functions in cryptography. Graduate students (mainly math and computer science) who are doing research in the area of cryptographic Boolean functions.

Thomas Cusick has 25 years of experience in cryptography, 60 published papers in that subject and 8 Ph. D. students whose thesis work was in that area. He is currently located at the State University of New York in Buffalo, New York.
Pantelimon Stanica has more than 15 years of experience in the area of cryptography and Boolean functions, more than 35 papers in this subject and 3 Ph.D. students working in the area. He is currently located at the Naval Postgraduate School in Monterey, California.
  • Presents a foundational approach, beginning with the basics of the necessary theory, then progressing to more complex content
  • Includes major concepts that are presented with complete proofs, with an emphasis on how they can be applied
  • Includes an extensive list of references, including 100 new to this edition that were chosen to highlight relevant topics
  • Contains a section on special functions and all-new numerical examples