Table of Contents
Public Key Infrastructure (PKI) relies on mathematical principles to enable secure digital communication. It uses cryptographic algorithms to ensure confidentiality, integrity, and authentication in online interactions.
Asymmetric Cryptography
At the core of PKI is asymmetric cryptography, which involves a pair of keys: a public key and a private key. The mathematical relationship between these keys allows for secure data exchange. Data encrypted with the public key can only be decrypted with the private key, and vice versa.
Mathematical Algorithms
Common algorithms used in PKI include RSA, ECC (Elliptic Curve Cryptography), and DSA. These algorithms are based on complex mathematical problems that are computationally difficult to solve, such as prime factorization and discrete logarithms. Their security depends on the difficulty of these problems.
Digital Certificates and Trust
Digital certificates are issued by Certificate Authorities (CAs) and contain the public key along with identity information. The trust in these certificates is established through cryptographic signatures, which are generated using mathematical algorithms. This ensures the authenticity of the certificate holder.
Key Management and Security
Mathematical security in PKI also involves key management practices. Secure generation, storage, and distribution of keys are essential to prevent unauthorized access. Cryptographic protocols and mathematical algorithms underpin these practices to maintain overall system security.