book

Practical Cryptography

by Saiful Azad, Al-Sakib Khan Pathan

November 2014

Intermediate to advanced

365 pages

6h 56m

English

Auerbach Publications

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Cover Page
Title Page
Copyright Page
Preface
Acknowledgments
About the Editors
Contributors
Chapter 1: Basics of Security and Cryptography
1.1 The Perimeter of Cryptography in Practice1.2 Things That Cryptographic Technologies Cannot Do
Chapter 2: Classical Cryptographic Algorithms
2.1 Caesar Cipher2.1.1 Algorithm2.1.2 Implementation2.1.3 Limitations2.2 Monoalphabetic Cipher2.2.1 Algorithm2.2.2 Implementation2.2.3 Limitations2.3 Playfair Cipher2.3.1 Algorithm2.3.2 Implementation2.3.3 Limitations2.4 Polyalphabetic Cipher2.4.1 Algorithm2.4.2 Implementation2.4.3 Limitations
Chapter 3: Rotor Machine
3.1 Background3.2 Basic Concept3.3 Systematization3.4 Algorithm3.5 Implementation3.6 LimitationsReference

Chapter 4: Block Cipher
4.1 Block Cipher Principles4.2 The Feistel Block Structure4.3 Block Cipher Modes4.3.1 Electronic Codebook (ECB) Mode4.3.2 Cipher Block Chaining (CBC)4.3.3 Cipher Feedback (CFB) Mode4.3.4 Output Feedback (OFB) Mode4.3.5 Counter (CTR) ModeReferences
Chapter 5: Data Encryption Standard
5.1 Primitive Operations5.1.1 Operations for Encryption/Decryption5.1.2 Operations for Subkey Generation5.2 Basic Structure5.3 DES Encryption Algorithm5.4 DES Decryption Algorithm5.5 Implementation5.5.1 C++ Library Headers5.5.2 The DES Class5.5.3 Introducing the Member Variables of DES Class5.5.4 Introducing the Member Functions of DES Class5.5.5 The Keygen() Function5.5.6 The PermChoice1() Function5.5.7 The Split_Key() Function5.5.8 The PermChoice2() Function5.5.9 The Encrypt(char *) Function5.5.10 The IP() Function5.5.11 The Expansion() Function5.5.12 The xor_oneE(int round) Function5.5.13 The Substitution() Function5.5.14 The Permutation() Function5.5.15 The xor_two() Function5.5.16 The Decrypt(char *) Function5.5.17 The Main() Function
Chapter 6: Advanced Encryption Standard
6.1 Overview6.2 History6.3 Design Consideration6.4 Primitive Operations of AES6.5 Structure of AES6.6 Overview of Key Expansion6.7 Key Expansion Example6.8 Encryption6.9 An Encryption Example6.10 Decryption6.11 Limitations6.12 Pros and Cons of AES6.13 Implementation6.14 Conclusion
Chapter 7: Asymmetric Key Algorithms
7.1 Basic Concept7.2 Applications of Asymmetric Key Algorithms7.2.1 Encryption/Decryption7.2.2 Digital Signature7.2.3 Encryption and Digital Signature
Chapter 8: The RSA Algorithm
8.1 The Concept8.2 Operations8.2.1 Key Generation8.2.2 Encryption8.2.3 Decryption8.3 Applications of the RSA Algorithm8.4 Implementation Code
Chapter 9: Elliptic Curve Cryptography
9.1 Introduction9.2 Elliptic Curves over R9.3 Elliptic Curves over ZP9.3.1 Adding Points in Elliptic Curves over ZP9.3.2 Scalar Multiplication9.4 Discrete Logarithm Problem9.5 Elliptic Curve Cryptography9.5.1 Elliptic Curve Diffie–Hellman Key Exchange9.5.2 Key Exchange Example9.5.3 Elliptic Curve Encryption/Decryption9.5.4 Encryption/Decryption Example9.6 Implementation 19.7 Implementation 2References
Chapter 10: Message Digest Algorithm 5
10.1 General Properties and Vulnerabilities10.2 Design Principle10.3 Algorithm Description10.3.1 Add Padding Bits behind the Input Message10.3.2 Add a 64-Bit Binary String That Is the Representation of the Message’s Length10.3.3 Initialize Four 32-Bit Values10.3.4 Compress Every 512-Bit Block10.3.5 Generate the 128-Bit Output10.4 An Example10.5 Implementation 110.6 Implementation 210.7 ConclusionReferences
Chapter 11: Secure Hash Algorithm
11.1 Basic Hash Function Concept11.2 Applications11.3 Steps of SHA-111.3.1 Appending Original Message Lengths and Padding11.3.2 Initialization11.3.3 Message Processing11.3.4 Output11.4 An Example11.5 Implementation11.6 Conclusion
Chapter 12: Fundamentals of Identity Based Cryptography
12.1 Introduction to Cryptography12.1.1 Symmetric Cryptography12.1.2 Asymmetric Cryptography12.1.3 Diffie–Hellman (DH) Algorithms12.1.4 Rivest, Shamir, and Adleman (RSA) Algorithms12.1.5 Elliptic Curve Cryptography (ECC)12.1.5.1 ECC Key Generation12.1.5.2 Elliptic Curve Digital Signature Algorithm12.2 ID-Based Cryptography12.2.1 ID-Based Key Construction12.2.2 Pairing Functions12.2.3 Examples of ID-Based Encryption Schemes12.2.3.1 Boneh and Franklin Encryption Scheme12.2.3.2 Boneh and Boyen Encryption Schemes12.2.3.3 Chen et al. Encryption Scheme12.2.4 Examples of ID-Based Signature Algorithms12.2.4.1 Paterson Signature Scheme12.2.4.2 Hess Signature Scheme12.2.4.3 Barreto et al. Signature Scheme12.2.5 Arguments in Favor of IBC12.2.6 Use of IBC in Network Security12.3 ConclusionReferences
Chapter 13: Symmetric Key Encryption Acceleration on Heterogeneous Many Core Architectures
13.1 Introduction13.2 Modern Heterogeneous Many-Core Architectures13.3 The OpenCL Programming Model13.3.1 OpenCL Parallel Execution Model13.3.2 OpenCL Memory Model13.3.3 First OpenCL Example13.4 Implementing AES in OpenCL13.4.1 The AES Block Cipher13.4.2 Modes of Operation13.4.3 AES Kernels13.4.4 AES Host Library13.4.5 Putting It All Together13.5 Implementation13.6 Concluding RemarksReferences
Chapter 14: Methods and Algorithms for Fast Hashing in Data Streaming
14.1 Introduction and Practical Situations14.2 Terminology14.3 The Data Streaming Problem14.3.1 Related Information Theory and Formulations14.3.2 Practical Applications and Designs14.3.3 Current Research Topics14.4 Simple 32-Bit Fast Hashing14.4.1 Hashing and Blooming Basics14.4.2 Traditional Hashing Methods14.4.3 Hashing by Bit Manipulation14.4.4 Quality Evaluation of Hash Functions14.4.5 Example Designs for Fast Hashing14.5 Practical Data Streaming14.5.1 Distributions in Practice14.5.2 Bloom Filters: Store, Lookup, and Efficiency14.5.3 Unconventional Bloom Filter Designs for Data Streams14.5.4 Practical Data Streaming Targets14.5.5 Higher-Complexity Data Streaming Targets14.6 Practical Fast Hashing and Blooming14.6.1 Arbitrary Bit Length Hashing14.6.2 Arbitrary Length Bloom Filters14.6.3 Hardware Implementation14.7 Practical Example: High-Speed Packet Traffic Processor14.7.1 Example Data Streaming Target14.7.2 Design for Hashing and Data Structures14.8 SummaryReferences
Footnotes
Chapter 8: The RSA AlgorithmChapter 13: Symmetric Key Encryption Acceleration on Heterogeneous Many-Core Architectures
Cryptography / Information Security

Content preview from Practical Cryptography

9ELLIPTIC CURVE CRYPTOGRAPHY

HAFIZUR RAHMAN AND SAIFUL AZAD

Contents

Keywords

9.1 Introduction

9.2 Elliptic Curves over R

9.3 Elliptic Curves over Z_P

9.3.1 Adding Points in Elliptic Curves over Z_P

9.3.2 Scalar Multiplication

9.4 Discrete Logarithm Problem

9.5 Elliptic Curve Cryptography

9.5.1 Elliptic Curve Diffie–Hellman Key Exchange

9.5.2 Key Exchange Example

9.5.3 Elliptic Curve Encryption/Decryption

9.5.4 Encryption/Decryption Example

9.6 Implementation 1

9.7 Implementation 2

References

Keywords

Asymmetric key algorithm

Diffie–Hellman key exchange

Elliptic curve cryptography

Private key

Public key

9.1 Introduction

Although the RSA algorithm resolves the problem of a secret key, it experiences higher computational cost because of utilizing ...

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Practical Cryptography

by Saiful Azad, Al-Sakib Khan Pathan

9ELLIPTIC CURVE CRYPTOGRAPHY