RSA Group Cryptography

Definition ∞ RSA group cryptography refers to the RSA public-key cryptosystem, which relies on the mathematical properties of modular arithmetic within a group structure. This cryptographic method utilizes the computational difficulty of factoring large composite numbers and the properties of the multiplicative group of integers modulo n for its security. It enables secure data transmission and digital signatures through a pair of keys, one public and one private. The system’s operations, including encryption, decryption, and signature generation, are performed within this defined mathematical group.
Context ∞ While RSA has been a foundational element of internet security for decades, its application in contemporary blockchain and digital asset protocols is less common due to performance considerations compared to elliptic curve cryptography. However, discussions in crypto news regarding legacy system integration or the exploration of diverse cryptographic primitives might still reference RSA. The ongoing transition to post-quantum cryptographic standards also involves evaluating the future viability of RSA against emerging threats.