方法对比

	RSA密码系统	差分分析	椭圆曲线密码学
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	1990	1985
提出者	Ronald Rivest	Eli Biham	Neal Koblitz
类型	asymmetric encryption algorithm	statistical attack on block ciphers	asymmetric encryption and key agreement
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.	Biham, E., & Shamir, A. (1990). Differential cryptanalysis of DES-like cryptosystems. In Advances in Cryptology - CRYPTO 1990, LNCS 537, pp. 2-21.	Miller, V. S. (1985). Use of Elliptic Curves in Cryptography. In Proceedings of the Advances in Cryptology - CRYPTO 1985, LNCS 218, pp. 417-426.
别名	RSA encryption, RSA public-key cryptography	differential attack, differential path, differential probability	ECC, elliptic curve cryptosystem
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.	Differential cryptanalysis is a statistical attack technique on symmetric block ciphers that analyzes differences in inputs and outputs to recover secret keys. Introduced by Eli Biham and Adi Shamir in 1990, differential cryptanalysis was the first practical attack on DES that outperformed brute force search. The technique exploits non-random properties of cipher transformations by studying how small changes in plaintext propagate through the cipher rounds. Differential cryptanalysis has shaped cipher design for three decades.	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.