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The Theory of Hash Functions and Random Oracles

E-BookPDF1 - PDF WatermarkE-Book
788 Seiten
Englisch
Springer International Publishingerschienen am19.01.20211st ed. 2021
Hash functions are the cryptographer's Swiss Army knife. Even though they play an integral part in today's cryptography, existing textbooks discuss hash functions only in passing and instead often put an emphasis on other primitives like encryption schemes. In this book the authors take a different approach and place hash functions at the center. The result is not only an introduction to the theory of hash functions and the random oracle model but a comprehensive introduction to modern cryptography.

After motivating their unique approach, in the first chapter the authors introduce the concepts from computability theory, probability theory, information theory, complexity theory, and information-theoretic security that are required to understand the book content. In Part I they introduce the foundations of hash functions and modern cryptography. They cover a number of schemes, concepts, and proof techniques, including computational security, one-way functions, pseudorandomness and pseudorandom functions, game-based proofs, message authentication codes, encryption schemes, signature schemes, and collision-resistant (hash) functions. In Part II the authors explain the random oracle model, proof techniques used with random oracles, random oracle constructions, and examples of real-world random oracle schemes. They also address the limitations of random oracles and the random oracle controversy, the fact that uninstantiable schemes exist which are provably secure in the random oracle model but which become insecure with any real-world hash function. Finally in Part III the authors focus on constructions of hash functions. This includes a treatment of iterative hash functions and generic attacks against hash functions, constructions of hash functions based on block ciphers and number-theoretic assumptions, a discussion of privately keyed hash functions including a full security proof for HMAC, and a presentation of real-world hash functions.

The text is supported with exercises, notes, references, and pointers to further reading, and it is a suitable textbook for undergraduate and graduate students, and researchers of cryptology and information security.
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Verfügbare Formate
BuchGebunden
EUR90,94
BuchKartoniert, Paperback
EUR64,19
E-BookPDF1 - PDF WatermarkE-Book
EUR64,19

Produkt

KlappentextHash functions are the cryptographer's Swiss Army knife. Even though they play an integral part in today's cryptography, existing textbooks discuss hash functions only in passing and instead often put an emphasis on other primitives like encryption schemes. In this book the authors take a different approach and place hash functions at the center. The result is not only an introduction to the theory of hash functions and the random oracle model but a comprehensive introduction to modern cryptography.

After motivating their unique approach, in the first chapter the authors introduce the concepts from computability theory, probability theory, information theory, complexity theory, and information-theoretic security that are required to understand the book content. In Part I they introduce the foundations of hash functions and modern cryptography. They cover a number of schemes, concepts, and proof techniques, including computational security, one-way functions, pseudorandomness and pseudorandom functions, game-based proofs, message authentication codes, encryption schemes, signature schemes, and collision-resistant (hash) functions. In Part II the authors explain the random oracle model, proof techniques used with random oracles, random oracle constructions, and examples of real-world random oracle schemes. They also address the limitations of random oracles and the random oracle controversy, the fact that uninstantiable schemes exist which are provably secure in the random oracle model but which become insecure with any real-world hash function. Finally in Part III the authors focus on constructions of hash functions. This includes a treatment of iterative hash functions and generic attacks against hash functions, constructions of hash functions based on block ciphers and number-theoretic assumptions, a discussion of privately keyed hash functions including a full security proof for HMAC, and a presentation of real-world hash functions.

The text is supported with exercises, notes, references, and pointers to further reading, and it is a suitable textbook for undergraduate and graduate students, and researchers of cryptology and information security.
Details
Weitere ISBN/GTIN9783030632878
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2021
Erscheinungsdatum19.01.2021
Auflage1st ed. 2021
Seiten788 Seiten
SpracheEnglisch
IllustrationenXXIII, 788 p. 109 illus.
Artikel-Nr.5845156
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
Introduction.- Preliminaries: Cryptographic Foundations.- Part I: Foundations.- Computational Security.- Pseudorandomness and Computational Indistinguishability.- Collision Resistance.- Encryption Schemes.- Signature Schemes.- Non-cryptographic Hashing.- Part II: The Random Oracle Methodology.- The Random Oracle Model.- The Full Power of Random Oracles.- Random Oracle Schemes in Practice.- Limitations of Random Oracles.- The Random Oracle Controversy.- Part III: Hash Function Constructions.- Iterated Hash Functions.- Constructing Compression Functions.- Iterated Hash Functions in Practice.- Constructions of Keyed Hash Functions.- Constructing Random Oracles: Indifferentiability.- Constructing Random Oracles: UCEs.- Index.mehr

Autor

Dr. Arno Mittelbach is the Director of Development at AGT International. He received his PhD from Technische Universität Darmstadt in 2015. Prof. Dr. Marc Fischlin has been Professor for Cryptography and Complexity Theory at the Technische Universität Darmstadt since 2011. He previously held postdoctoral positions at research institutes such as the Fraunhofer Institute for Secure IT, University of California, San Diego, and ETH Zürich. His team's main research area is complexity-based cryptography.