Boolean Functions for Cryptography and Coding Theory

Claude Carlet

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Hardback

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English

Cambridge University Press
07 January 2021

Coding theory & cryptology; Combinatorics & graph theory; Computer networking & communications

Boolean functions are essential to systems for secure and reliable communication. This comprehensive survey of Boolean functions for cryptography and coding covers the whole domain and all important results, building on the author's influential articles with additional topics and recent results. A useful resource for researchers and graduate students, the book balances detailed discussions of properties and parameters with examples of various types of cryptographic attacks that motivate the consideration of these parameters. It provides all the necessary background on mathematics, cryptography, and coding, and an overview on recent applications, such as side channel attacks on smart cards, cloud computing through fully homomorphic encryption, and local pseudo-random generators. The result is a complete and accessible text on the state of the art in single and multiple output Boolean functions that illustrates the interaction between mathematics, computer science, and telecommunications.

By: Claude Carlet
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 260mm, Width: 181mm, Spine: 36mm
Weight: 1.200kg
ISBN: 9781108473804
ISBN 10: 1108473806
Pages: 574
Publication Date: 07 January 2021
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

1. Introduction to cryptography, codes, Boolean and vectorial functions; 2. Generalities on Boolean and vectorial functions; 3. Boolean functions, vectorial functions and cryptography; 4. Boolean functions, vectorial functions and error correcting codes; 5. Functions with weights, Walsh spectra and nonlinearities easier to study; 6. Bent functions and plateaued functions; 7. Correlation immune and resilient functions; 8. Functions satisfying SAC, PC, EPC, or having good GAC; 9. Algebraic immune functions; 10. Particular classes of Boolean functions; 11. Highly nonlinear vectorial functions with low differential uniformity; 12. Recent uses of Boolean and vectorial functions and related problems; 13. Open questions; 14. Appendix.

Claude Carlet is Professor Emeritus of Mathematics at the University of Paris VIII, France and member of the Bergen University department of computer science. He has contributed to fifteen books, and published more than 130 papers in international journals and more than sixty papers in international proceedings. He has been a member of eighty program committees of international conferences, and served as co-chair for nine of them. He has overseen the research group 'Codage-Cryptographie', which gathers all French researchers in coding and cryptography, and is editor-in-chief of the journal Cryptography and Communications. He has been an invited plenary speaker at twenty international conferences and the invited speaker at thirty other international conferences and workshops.