Qi Xia, Jianbin Gao, Isaac Amankona Obiri, Kwame Omono Asamoah, Daniel Adu Worae

Attribute-based Encryption (ABE) (eBook, ePUB)

Foundations and Applications within Blockchain and Cloud Environments

• Format: ePub

Produktbeschreibung

Attribute-based Encryption (ABE) Enables readers to understand applications of attribute-based encryption schemes in cloud computing with the support of blockchain technology With a focus on blockchain technology, Attribute-based Encryption (ABE) provides insight into the application of attribute-based encryption (ABE) schemes, discussing types of blockchains, fundamentals of blockchain, and how blockchains are constructed. Comprised of 16 chapters, the text provides an overview of the components that go into creating a dual ABE system of encryption proofs within the following: composite bilinear groups, dual pairing vector space framework, matrix pairing framework, framework for matrix pairing, and the application of cryptographic scheme on blockchain. The team of authors discuss the basic construction components of ABE and share the security models, including the selective and semi- adaptive security models, applying these to either prime order or composite order groups. The book also discusses the tools used for converting a composite order ABE scheme to prime order and an adaptive secure ABE scheme based on prime order. In Attribute-based Encryption (ABE), readers can expect to find information on: * Mathematical background of ABE, covering group and cyclic group, elliptic curves, curve selection, supersingular curves, ordinary curves, and weil and tate pairing * Basic construction components of ABE, covering access structure, monotone Boolean formula, linear secret-sharing scheme, and ordered binary decision diagram * Tools for converting composite order ABE schemes to prime order, covering security assumptions and conversion based on vectors for preliminaries, scheme construction, and security proof technique * Foundations of blockchain technology, covering blocks, miners, hash functions, and public key cryptography Attribute-based Encryption (ABE) is an essential resource for professionals working in the field of design and cybersecurity who wish to understand how to use blockchain and the ABE scheme to provide fine-grained access control in outsourced data on third-party cloud servers.

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Produktdetails

• Verlag: For Dummies
• Seitenzahl: 272
• Erscheinungstermin: 3. Oktober 2023
• Englisch
• ISBN-13: 9781119989370
• Artikelnr.: 70221715

Autorenporträt

Qi Xia received her PhD in Computer Science from the University of Electronic Science and Technology of China in 2010. Jianbin Gao received his PhD in Computer Science from the University of Electronic Science and Technology of China in 2012. Isaac Amankona Obiri received his Master's and PhD in Computer Science and Technology from the University of Electronic Science and Technology of China. Kwame Omono Asamoah received his Master's and PhD in Computer Science and Technology from the University of Electronic Science and Technology of China. Daniel Adu Worae is currently pursuing his Master's degree in Computer Science and Technology at the University of Electronic Science and Technology of China.

Inhaltsangabe

About the Authors xiii

Preface xv

Acknowledgments xvii

Part I Attribute-Based Encryption (ABE) 1

1 Foundation of Attribute-Based Encryption 3

1.1 Introduction 3

1.1.1 Symmetric Encryption 4

1.1.2 Asymmetric Key Encryption 4

1.1.3 Identity-Based Encryption 5

1.2 Functional Encryption 7

1.2.1 Applications of Attribute-Based Encryption 8

1.2.2 Problems with Attribute-Based Encryption 9

1.2.3 A Brief History of Security Proof of Functional Encryption 9

1.2.4 Dual System of Encryption 10

1.2.5 Summary 11

References 12

2 Mathematical Background 15

2.1 Group Theory 15

2.1.1 Law of Composition 15

2.1.2 Groups 15

2.1.3 Subgroups 16

2.1.4 Homomorphisms 17

2.1.5 Cyclic Group 17

2.2 Ring Theory 20

2.2.1 Ideals and Quotient Rings 21

2.2.2 Euler's Totient Function 22

2.2.3 Polynomial Rings 22

2.2.4 Irreducible and Monic Polynomials 22

2.2.5 Field Theory 23

2.2.5.1 Quotient Field 24

2.2.6 Field Characteristic 24

2.2.7 Algebraic Extension Fields 24

2.3 Elliptic Curves 24

2.3.1 Plane Curve 24

2.3.2 Group Operations on Elliptic Curves 26

2.3.2.1 Point Addition 26

2.3.2.2 Point Doubling 27

2.4 Divisors and Bilinear Map 28

2.4.1 Divisors 28

2.4.2 The degree and Support of d 29

2.4.3 The Divisor of a Function f on E 29

2.4.4 Equivalence of Divisors 30

2.4.5 Bilinear Map 31

2.4.6 Weil Pairing 31

2.4.7 Miller's Algorithm 32

2.4.8 The Tate Pairing 34

2.5 Summary 36

References 36

3 Attribute-Based Encryption 37

3.1 Introduction 37

3.2 Basic Components of ABE Construction 39

3.2.1 Secret-Sharing Schemes 39

3.2.2 Polynomial Interpolation 41

3.2.2.1 Polynomials Over the Reals 41

3.2.2.2 Polynomials Modulus P 44

3.2.3 Shamir Secret Sharing 45

3.2.4 Verifiable Secret Sharing (VSS) 47

3.2.4.1 Algorithm for Converting Access Structure Into LSSS Matrix 47

3.2.4.2 Access Structure Example 48

3.2.4.3 Algorithms in Attribute-Based Encryption 49

3.2.5 Properties of Attribute-Based Encryption 51

3.2.6 Prime Order Group 51

3.3 Cryptographic Hard Assumptions 51

3.3.1 Composite Order Bilinear Groups 54

3.3.2 Complexity Assumptions 55

3.4 Provable Security 56

3.5 Security Notions 57

3.5.1 Summary 57

References 58

4 Data Access Control 61

4.1 Introduction 61

4.1.1 Coarse-Grained 62

4.1.2 Fine-Grained Access Control 63

4.1.3 Importance of Fine-Grained Access Control 64

4.2 Concerns About Cloud-Based Access Control that Are Trustworthy 65

4.2.1 Encryption Access Control 65

4.2.2 Requirements for Encryption-Based Access Control 67

4.3 Summary 67

References 68

5 Selective Secure ABE Schemes Based on Prime Order Group 69

5.1 Introduction 69

5.1.1 Selective Security Model for KP-ABE 70

5.1.2 Selective Security Model for CP-ABE 70

5.1.3 ABE Schemes 71

5.2 The KP-ABE Scheme 71

5.2.1 Concrete Scheme Construction 71

5.2.2 Security Proof 73

5.3 The CP-ABE Scheme 74

5.3.1 Concrete Scheme Construction 74

5.3.2 Security Proof 76

5.4 Su