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Course Content
Module 1: Introduction to Cryptography
This module introduces cryptography, covering its history, importance in cybersecurity, and fundamental concepts such as encryption, decryption, and the differences between symmetric and asymmetric encryption.
0/6
What is Cryptography?
History and Evolution of Cryptography
Importance of Cryptography in Cybersecurity
Basic Terminology: Plaintext, Ciphertext, Key, Encryption, and Decryption
Types of Cryptography: Symmetric, Asymmetric, and Hash Functions
Legal and Ethical Considerations in Cryptography
Module 2: Cryptographic Concepts and Principles
This module explores essential cryptographic concepts, including the CIA triad (Confidentiality, Integrity, Availability), authentication, non-repudiation, key strength, and common attacks on cryptographic systems.
0/8
The CIA Triad in Cryptography
Principles of Cryptography
Cryptographic Goals and Objectives
Cryptographic Algorithms: Key Properties
Keys and Key Management
Cryptanalysis: Breaking Cryptographic Systems
Modern Cryptographic Standards
The Role of Randomness in Cryptography
Module 3: Symmetric Key Cryptography
This module explores symmetric key cryptography, explaining how encryption and decryption work with the same key, and covers popular algorithms like AES, DES, and the different modes of operation used for data security.
0/10
Introduction to Symmetric Key Cryptography
How Symmetric Key Cryptography Works
Block Ciphers vs. Stream Ciphers
Popular Symmetric Encryption Algorithms
Modes of Operation for Block Ciphers
Strengths of Symmetric Key Cryptography
Limitations of Symmetric Key Cryptography
Real-World Applications of Symmetric Key Cryptography
Comparing Symmetric and Asymmetric Cryptography
Challenges and Best Practices in Symmetric Key Cryptography
Module 4: Asymmetric Key Cryptography
This module explores asymmetric key cryptography, explaining how public and private keys work, the process of key pair generation, popular algorithms like RSA and ECC, and their applications in secure communication.
0/9
What is Asymmetric Key Cryptography?
How Does Asymmetric Key Cryptography Work?
Key Components of Asymmetric Cryptography
Popular Algorithms in Asymmetric Cryptography
Applications of Asymmetric Cryptography
Strengths and Limitations of Asymmetric Cryptography
Mathematical Foundations of Asymmetric Cryptography
Challenges and Future of Asymmetric Cryptography
Case Study: Asymmetric Cryptography in HTTPS
Module 5: Hashing Techniques
This module explores hashing techniques, explaining what hashing is, its properties, and common algorithms like MD5, SHA, and HMAC. It also covers the applications of hashing in data integrity and password protection.
0/9
Introduction to Hashing
Characteristics of a Good Hash Function
Popular Hashing Algorithms
Applications of Hashing in Cryptography
Hash Collisions and Their Implications
Salting and Peppering: Enhancing Hashing Security
Limitations and Challenges in Hashing
Real-World Case Studies
Future Trends in Hashing
Module 6: Cryptographic Key Management
This module focuses on the principles of cryptographic key management, including best practices for key generation, distribution, storage, expiration, rotation, and recovery to ensure secure cryptographic operations.
0/10
Introduction to Key Management
Key Lifecycle
Types of Keys and Their Management
Key Distribution Methods
Secure Key Storage
Key Rotation Policies
Key Revocation and Expiry
Challenges in Key Management
Best Practices for Key Management
Tools and Standards for Key Management
Module 7: Cryptographic Protocols and Standards
This module explores the various cryptographic protocols and standards used in cybersecurity, including SSL/TLS, IPsec, VPNs, PGP, PKI, and blockchain applications for secure communication and data protection.
0/8
Introduction to Cryptographic Protocols
Objectives of Cryptographic Protocols
Common Cryptographic Protocols
Cryptographic Standards
Protocol Design Principles
Challenges in Cryptographic Protocols
Real-World Applications of Cryptographic Protocols
Future Trends in Cryptographic Protocols
Module 8: Modern Cryptographic Applications
This module explores modern cryptographic applications, including their role in cloud security, IoT devices, secure messaging, zero trust security, and emerging technologies like blockchain and quantum cryptography.
0/10
Overview of Cryptography in Modern Technology
Cryptography in Communication
Cryptography in Authentication and Identity Verification
Cryptography in Secure Transactions
Cryptography in Data Storage and Cloud Security
Cryptography in Blockchain and Decentralized Systems
Cryptography in IoT and Embedded Systems
Cryptography in National Security and Defense
Emerging Applications of Cryptography
Challenges in Cryptographic Applications
Module 9: Cryptography Tools and Hands-On Practice
This module focuses on practical cryptographic tools, providing hands-on experience with tools like OpenSSL and GPG. Learners will practice encrypting and decrypting data, generating digital signatures, and verifying integrity.
0/10
Introduction to Cryptographic Tools
OpenSSL
GPG (GNU Privacy Guard)
Hashing Tools: Hashcat and md5sum
Wireshark for Cryptographic Analysis
Cryptool
Practical Cryptography in Python
Online Cryptography Platforms
Cryptography in Real-World Applications
Ethical Considerations in Using Cryptographic Tools
Module 10: Common Pitfalls and Best Practices
This module highlights common pitfalls in cryptographic implementations, such as weak keys and misconfigurations, while emphasizing best practices for secure encryption, key management, and adherence to industry standards.
0/5
Overview of Cryptographic Pitfalls
Common Pitfalls in Cryptography
Cryptography Best Practices
Case Studies of Cryptographic Failures
Future Trends in Cryptographic Best Practices
Module 11: Cryptography in Cybersecurity Frameworks
This module explores the role of cryptography in cybersecurity frameworks, focusing on standards like NIST and ISO/IEC, and how cryptographic practices support compliance with regulations such as GDPR and FIPS 140-2.
0/8
Overview of Cybersecurity Frameworks
Role of Cryptography in Cybersecurity Frameworks
NIST Cybersecurity Framework and Cryptography
ISO/IEC 27001 and Cryptography
Cryptography in CIS Controls
Implementation of Cryptographic Practices in Frameworks
Challenges in Cryptography Implementation
Future Trends: Quantum-Resistant Cryptography in Frameworks
Module 12: Summary and Future Directions
This module reviews key concepts and techniques learned throughout the course, explores emerging trends in cryptography, discusses challenges in implementation, and provides insights into the future of cryptographic technologies.
0/5
Recap of Cryptographic Concepts
The Role of Cryptography in Modern Cybersecurity
Emerging Trends and Innovations in Cryptography
Ethical Considerations and Challenges
Preparing for the Future: Skills and Learning Paths
Cryptography Fundamentals for Cybersecurity
About Lesson

Mathematical Foundations of Asymmetric Cryptography

Asymmetric cryptography relies on mathematical problems that are easy to perform in one direction but extremely difficult to reverse without specific information:

  • Prime Factorization: RSA relies on the difficulty of factoring the product of two large prime numbers.
  • Discrete Logarithms: Algorithms like Diffie-Hellman and DSA depend on the infeasibility of solving discrete logarithms in finite fields.
  • Elliptic Curve Mathematics: ECC leverages the difficulty of solving elliptic curve discrete logarithm problems.
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