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Cryptography

Cryptography is the study and practice of securing communication and data against adversarial access through mathematical transformations. Its tools include encryption, authentication and digital signatures, which protect different aspects of information and its exchange.

Type: Concept Domain: Technology Mathematics History Era: 1900 BCE — present

Overview

Modern cryptographic systems combine tools for confidentiality, data integrity and authentication. Symmetric-key methods use shared secret keys, while public-key methods use a public key paired with a private key. Their mathematical foundations include factorization and discrete-logarithm assumptions, as well as lattice and hash-based constructions. Appropriately designed protocols bring these tools together for secure network communication, electronic transactions, digital signatures and identity verification.

Why it matters

Cryptographic techniques enable confidential messaging, electronic commerce, and digital identity systems to operate at scale. The widespread use of encryption has also prompted significant policy and legal debates regarding governmental surveillance, mandatory backdoors, and individual privacy rights.

Where it leads

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