Keyboard shortcuts

Press or to navigate between chapters

Press S or / to search in the book

Press ? to show this help

Press Esc to hide this help

Introduction to Cryptography

Cryptography is the practice and study of techniques for secure communication in the presence of adversaries. This book provides a comprehensive introduction to both classical and modern cryptographic methods.

What is Cryptography?

Cryptography involves creating mathematical algorithms and protocols that allow for:

  • Confidentiality: Ensuring that information is accessible only to those authorized to have access
  • Integrity: Maintaining the accuracy and completeness of data
  • Authentication: Verifying the identity of communicating parties
  • Non-repudiation: Preventing parties from denying they sent or received messages

Historical Context

The history of cryptography spans thousands of years, from ancient techniques like the Caesar cipher used by Roman generals to modern quantum-resistant algorithms designed to protect against future quantum computers.

Modern Applications

Today, cryptography is essential for:

  • Online banking and e-commerce
  • Secure messaging applications
  • Blockchain and cryptocurrencies
  • Internet protocols (HTTPS, TLS)
  • Mobile device security
  • Cloud computing security

About This Book

This book covers both theoretical foundations and practical implementations of cryptographic systems. Each chapter includes mathematical explanations, code examples, and real-world applications.

The content is organized from basic concepts to advanced topics, making it suitable for students, developers, and security professionals looking to deepen their understanding of cryptography.


Author: Md. Al-Amin Khandaker, Ph.D.
Cybersecurity Engineer at ITK Engineering GmbH

Classical Cryptography

Classical cryptography refers to encryption methods that were developed before the advent of modern computers. These methods typically rely on simple mathematical operations and were often designed to be executed by hand or with mechanical devices.

Characteristics of Classical Ciphers

Classical ciphers generally have the following characteristics:

  • Symmetric: The same key is used for both encryption and decryption
  • Manual execution: Could be performed without computers
  • Character-level operations: Work on individual characters rather than bits
  • Pattern preservation: Often preserve language patterns making them vulnerable to statistical analysis

Historical Importance

While classical ciphers are no longer considered secure by modern standards, they provide important historical context and help us understand fundamental cryptographic concepts:

  1. Key management: The challenge of securely distributing keys
  2. Frequency analysis: How patterns in natural language can be exploited
  3. Cryptanalysis: Methods for breaking encryption without the key

Common Classical Cipher Types

Substitution Ciphers

Replace each character in the plaintext with another character according to a fixed system:

  • Monoalphabetic: Each plaintext character maps to exactly one ciphertext character
  • Polyalphabetic: Different substitution rules are used for different positions

Transposition Ciphers

Rearrange the characters of the plaintext according to a specific pattern without changing the actual characters.

Educational Value

Studying classical ciphers helps understand:

  • Basic cryptographic principles
  • Common attack methods
  • Evolution of cryptographic thinking
  • Importance of key space and randomness

In the following chapters, we’ll examine specific classical ciphers in detail, including their encryption/decryption processes and vulnerability analysis.

Caesar Cipher

Vigenère Cipher

Modern Cryptography

Symmetric Key Cryptography

Public Key Cryptography

Elliptic Curve Cryptography

Mathematical Foundations

Pairing-Based Cryptography

Cryptographic Protocols

Key Exchange

Digital Signatures