The science and art of secure communication in the presence of adversaries. This involves developing techniques to protect information from unauthorized access or modification, even when potential attackers are actively trying to compromise the communication. It encompasses a wide range of methods and technologies designed to ensure the confidentiality, integrity, and authenticity of data.
Multidisciplinary field:
Combines mathematics, computer science, electrical engineering, and psychology. Mathematics provides the foundation for cryptographic algorithms and their analysis. Computer science contributes to the implementation and optimization of cryptographic systems. Electrical engineering is crucial for hardware-based cryptographic solutions. Psychology plays a role in understanding human factors in security, such as password creation and social engineering.
Purpose:
Create and analyze protocols that prevent unauthorized access to information. This involves designing robust encryption algorithms, secure key management systems, and authentication mechanisms. It also includes rigorously testing these protocols to identify and address potential vulnerabilities, ensuring they can withstand various types of attacks and maintain the security of sensitive data.
Etymology:
From Greek "kryptos" (hidden) and "graphein" (to write), meaning "hidden writing". This etymology reflects the historical roots of cryptography in secret writing and coded messages. It underscores the fundamental concept of concealing information from unauthorized readers, which remains a core principle of modern cryptography.
Historical context:
Ancient Egyptians used hieroglyphs for secret communications
Julius Caesar employed the Caesar cipher for military messages in Roman times
WWII Enigma code breaking by Allied cryptanalysts played a crucial role in the war's outcome
Mid-20th century transition to computer-based cryptography revolutionized the field
Modern cryptography objectives:
Confidentiality: Ensuring only authorized parties can access information. This involves using encryption algorithms to convert plaintext into ciphertext, making it unreadable to anyone without the proper decryption key.
Integrity: Guaranteeing that information hasn't been tampered with. This is typically achieved through the use of cryptographic hash functions and digital signatures, which can detect any unauthorized modifications to the data.
Authentication: Verifying identities of communicating parties. This involves using techniques such as digital certificates, public key infrastructure (PKI), and multi-factor authentication to ensure that parties involved in communication are who they claim to be.
Non-repudiation: Preventing denial of actions or commitments. This is achieved through the use of digital signatures and secure logging mechanisms, ensuring that individuals cannot deny their involvement in a transaction or communication.
Applications:
Digital security and privacy (e.g., encrypted messaging apps). This includes end-to-end encryption in messaging platforms like Signal or WhatsApp, ensuring that only the intended recipients can read the messages.
Secure communication protocols (e.g., HTTPS for secure web browsing). HTTPS uses SSL/TLS protocols to encrypt data transmitted between a user's browser and a website, protecting against eavesdropping and man-in-the-middle attacks.
Financial transactions (online banking, cryptocurrencies). Cryptography secures online banking sessions, protects credit card information during online purchases, and forms the backbone of cryptocurrency systems like Bitcoin.
Government and military communications. Advanced encryption standards are used to protect classified information and secure tactical communications in military operations.
Digital signatures and certificates for document authenticity. These technologies ensure the integrity and origin of digital documents, playing a crucial role in e-commerce, legal proceedings, and secure email communications.
Ongoing evolution:
Developing post-quantum cryptography to counter quantum computing threats. This involves creating new cryptographic algorithms that can resist attacks from future quantum computers, which could potentially break many current encryption methods.
Enhancing security in Internet of Things (IoT) devices and cloud computing. This includes developing lightweight cryptographic protocols suitable for resource-constrained IoT devices and ensuring data privacy and security in cloud environments.
Balancing robust security with usability and performance. This involves optimizing cryptographic algorithms and protocols to minimize their impact on system performance while maintaining strong security, and designing user-friendly interfaces for cryptographic tools.
Adapting to new attack vectors and vulnerabilities. This includes continuous research into potential weaknesses in existing cryptographic systems, developing countermeasures against emerging threats like side-channel attacks, and improving resilience against advanced persistent threats (APTs).
Key Concepts
Encryption:
The process of converting plaintext (readable information) into ciphertext (scrambled, unreadable form)
Uses an algorithm and a key
Ensures unauthorized parties cannot understand intercepted messages without the decryption key
Essential for maintaining confidentiality in communication
Decryption:
The reverse process of encryption
Converts ciphertext back into plaintext using the appropriate key and algorithm
Only authorized parties with the correct key can successfully decrypt the message
Crucial for retrieving the original information from encrypted data
Key:
A piece of information that controls the operation of a cryptographic algorithm
Acts as a "secret recipe" for encryption or decryption
The security of most cryptographic systems relies on keeping the key secret
Can be symmetric (same key for encryption and decryption) or asymmetric (public and private key pair)
Cipher:
An algorithm for performing encryption or decryption
A series of well-defined steps to encrypt or decrypt messages
Examples include:
Substitution ciphers (e.g., Caesar cipher)
Transposition ciphers
Modern block ciphers (e.g., AES)
Stream ciphers (e.g., RC4)
The strength of a cipher depends on its resistance to cryptanalysis
Types of Cryptography
Symmetric-key Cryptography:
Also known as secret-key cryptography
Uses the same key for both encryption and decryption
Advantages: Speed and efficiency
Challenge: Key distribution in large systems
Examples: AES, DES, 3DES
Public-key Cryptography:
Also called asymmetric cryptography
Uses a pair of keys: public key for encryption, private key for decryption
Public key can be freely distributed, private key must be kept secret
Solves key distribution problem of symmetric cryptography
Enables secure communication without prior key exchange
Examples: RSA, ECC (Elliptic Curve Cryptography)
Hash Functions:
One-way functions converting input of arbitrary size to fixed-size output (hash)
Designed to be collision-resistant and computationally irreversible
Uses:
Data integrity checks
Password storage
Digital signatures
Proof-of-work systems in cryptocurrencies
Examples: SHA-256, SHA-3, BLAKE2
Common Algorithms
AES (Advanced Encryption Standard):
Symmetric block cipher adopted by the U.S. government
Operates on 128-bit blocks with key sizes of 128, 192, or 256 bits
Known for speed, efficiency, and strong security
RSA (Rivest-Shamir-Adleman):
Public-key cryptosystem widely used for secure data transmission
Based on the difficulty of factoring large prime numbers
Used for secure communication, digital signatures, and key exchange
SHA (Secure Hash Algorithm):
Family of cryptographic hash functions designed by the NSA
Common variants: SHA-256 and SHA-3
Essential for:
Digital signatures
Message authentication codes (MACs)
Password hashing
Blockchain technology
Applications of Cryptography
Secure Communication:
Enables secure communication over insecure channels