方法对比

	RSA密码系统	椭圆曲线密码学	HMAC
领域	密码学	密码学	密码学
方法族	Machine learning	Machine learning	Machine learning
起源年份	1978	1985	1997
提出者	Ronald Rivest	Neal Koblitz	Hugo Krawczyk
类型	asymmetric encryption algorithm	asymmetric encryption and key agreement	cryptographic authentication mechanism
开创性文献	Rivest, R. L., Shamir, A., & Adleman, L. (1978). A method for obtaining digital signatures and public-key cryptosystems. Communications of the ACM, 21(2), 120-126.	Miller, V. S. (1985). Use of Elliptic Curves in Cryptography. In Proceedings of the Advances in Cryptology - CRYPTO 1985, LNCS 218, pp. 417-426.	Krawczyk, H., Bellare, M., & Crechanko, R. (1997). HMAC: Keyed-Hashing for Message Authentication. RFC 2104.
别名	RSA encryption, RSA public-key cryptography	ECC, elliptic curve cryptosystem	HMAC, keyed hash function
相关	4	3	3
摘要	RSA is a foundational public-key cryptosystem developed by Rivest, Shamir, and Adleman in 1978. It enables secure encryption and digital signatures by using a pair of mathematically linked keys: a public key for encryption and a private key for decryption. RSA's security relies on the computational difficulty of factoring large composite numbers into their prime factors.	Elliptic Curve Cryptography (ECC) is a public-key cryptosystem based on the algebraic structure of elliptic curves over finite fields. Proposed independently by Neal Koblitz and Victor Miller in 1985, ECC offers equivalent security to RSA with much smaller key sizes. Modern cryptography increasingly favors ECC for its efficiency: a 256-bit ECC key provides security comparable to a 2048-bit RSA key, making it ideal for constrained environments and high-performance systems.	HMAC (Hash-Based Message Authentication Code) is a cryptographic algorithm for authenticating messages using a secret key and a hash function. Standardized in RFC 2104 (1997), HMAC can be combined with any cryptographic hash function (SHA-256, SHA-3, etc.) to create a message authentication code (MAC). HMAC provides both data integrity and authentication, detecting both accidental corruption and deliberate tampering, and is widely used in web security (TLS/SSL), API authentication, and network protocols.