Cryptography Study Notes
What is Cryptography?
Cryptography is the science of securing information by transforming it into a format that is unreadable to unauthorized users. It protects data confidentiality, integrity, and authenticity in digital communications.
Key Concepts
1. Plaintext and Ciphertext
- Plaintext: The original, readable message or data.
- Ciphertext: The encrypted, unreadable version of the plaintext.
2. Encryption & Decryption
- Encryption: The process of converting plaintext into ciphertext using an algorithm and a key.
- Decryption: The reverse process, turning ciphertext back into plaintext using a key.
3. Keys
- Key: A string of bits used by cryptographic algorithms to encrypt and decrypt data.
- Symmetric Key: Same key for encryption and decryption (e.g., AES).
- Asymmetric Key: Uses a pair of keys—public and private (e.g., RSA).
Types of Cryptography
Type | Description | Example Algorithms |
---|---|---|
Symmetric | Same key for encryption/decryption | AES, DES, Blowfish |
Asymmetric | Public/private key pair | RSA, ECC |
Hash Functions | One-way transformation (no decryption) | SHA-256, MD5 |
Diagram: Basic Encryption Process
Applications of Cryptography
- Secure Communication: Messaging apps, emails
- Authentication: Passwords, biometrics
- Digital Signatures: Document verification
- Blockchain & Cryptocurrency: Transaction security
Case Studies
1. End-to-End Encryption in Messaging Apps
Apps like WhatsApp and Signal use end-to-end encryption, meaning only the sender and receiver can read messages. Even the service provider cannot decrypt the content.
2. Cryptography in Online Banking
Banks use SSL/TLS protocols, which rely on asymmetric cryptography, to secure transactions and protect sensitive customer data.
3. Cryptography in Healthcare
Medical records are encrypted to comply with privacy laws (e.g., HIPAA), ensuring only authorized personnel can access patient information.
Debunking a Myth
Myth: “Encrypted messages are impossible to break.”
Fact: While strong encryption is very secure, it can be vulnerable if weak keys, outdated algorithms, or poor implementation are used. Quantum computers may also pose future risks to current cryptographic methods.
Latest Discoveries
Post-Quantum Cryptography
With the rise of quantum computing, researchers are developing algorithms resistant to quantum attacks. Lattice-based cryptography is a promising candidate.
Recent Study:
In 2022, the National Institute of Standards and Technology (NIST) announced the selection of four quantum-resistant algorithms for standardization, including CRYSTALS-Kyber for general encryption and CRYSTALS-Dilithium for digital signatures.
Source: NIST News Release, July 2022
Homomorphic Encryption
Allows computation on encrypted data without decrypting it. This is useful for privacy-preserving data analysis in cloud computing.
Surprising Facts
- Cryptography is Ancient: The earliest known use dates back to 1900 BCE in Egypt, where hieroglyphs were used to obscure messages.
- DNA Cryptography: Scientists are exploring storing and encrypting data using DNA sequences.
- Cryptography in Space: NASA uses cryptographic protocols to secure communications with spacecraft millions of miles away.
Diagram: Public Key Cryptography
CRISPR Technology and Cryptography
While CRISPR is not a cryptographic tool, its precision in gene editing has inspired new approaches to data encoding and security, such as DNA-based cryptography.
Summary Table: Cryptographic Algorithms
Algorithm | Type | Key Length | Use Case |
---|---|---|---|
AES | Symmetric | 128-256 | File encryption |
RSA | Asymmetric | 1024-4096 | Secure email, SSL/TLS |
SHA-256 | Hash | 256 | Password hashing |
CRYSTALS-Kyber | Asymmetric | 256-512 | Post-quantum security |
References
- NIST. (2022). NIST Announces First Four Quantum-Resistant Cryptographic Algorithms
- Schneier, B. (2021). Applied Cryptography: Protocols, Algorithms, and Source Code in C.
- Kahn, D. (2020). The Codebreakers: The Comprehensive History of Secret Communication.
Key Takeaways
- Cryptography secures data in digital communications.
- New threats like quantum computing require advanced cryptographic algorithms.
- Real-world applications range from messaging apps to space exploration.
- Ongoing research continues to evolve the field, making it both ancient and cutting-edge.