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RSA密码系统×AES (Rijndael)×差分分析×椭圆曲线密码学×HMAC×
领域密码学密码学密码学密码学密码学
方法族Machine learningMachine learningMachine learningMachine learningMachine learning
起源年份19782001199019851997
提出者Ronald RivestJoan DaemenEli BihamNeal KoblitzHugo Krawczyk
类型asymmetric encryption algorithmsymmetric encryption algorithmstatistical attack on block ciphersasymmetric encryption and key agreementcryptographic 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. DOI ↗Daemen, J., & Rijmen, V. (2002). The Design of Rijndael: AES - The Advanced Encryption Standard. Springer-Verlag. ISBN: 978-3540425809Biham, E., & Shamir, A. (1990). Differential cryptanalysis of DES-like cryptosystems. In Advances in Cryptology - CRYPTO 1990, LNCS 537, pp. 2-21. DOI ↗Miller, V. S. (1985). Use of Elliptic Curves in Cryptography. In Proceedings of the Advances in Cryptology - CRYPTO 1985, LNCS 218, pp. 417-426. DOI ↗Krawczyk, H., Bellare, M., & Crechanko, R. (1997). HMAC: Keyed-Hashing for Message Authentication. RFC 2104. link ↗
别名RSA encryption, RSA public-key cryptographyRijndael, AES encryption, FIPS 197differential attack, differential path, differential probabilityECC, elliptic curve cryptosystemHMAC, keyed hash function
相关44333
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.The Advanced Encryption Standard (AES), also known as Rijndael, is a symmetric block cipher adopted as the official encryption standard by the U.S. government in 2001. It processes data in 128-bit blocks using 128, 192, or 256-bit keys and performs multiple rounds of substitution, permutation, and mixing operations. AES is the most widely used symmetric encryption algorithm today, securing everything from government communications to everyday internet traffic.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.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.
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ScholarGate方法对比: RSA Cryptosystem · AES (Rijndael) · Differential Cryptanalysis · Elliptic Curve Cryptography · HMAC. 于 2026-06-17 检索自 https://scholargate.app/zh/compare