方法对比

	基于格的密码学	后量子密码学（Kyber）	RSA密码系统
领域	密码学	密码学	密码学
方法族	Machine learning	Machine learning	Machine learning
起源年份	1996	2022	1978
提出者	Miklós Ajtai	NIST PQC Standardization Project	Ronald Rivest
类型	public-key cryptosystem based on lattice hardness	post-quantum key encapsulation mechanism	asymmetric encryption algorithm
开创性文献	Ajtai, M. (1996). Generating hard instances of the short basis problem. In Proceedings of the 28th Annual ACM Symposium on Theory of Computing, pp. 99-108.	Avanzi, R., Bos, J., Ducas, L., & Kiltz, E. (2022). CRYSTALS-Kyber algorithm specification and supporting documentation. NIST Post-Quantum Cryptography Project.	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.
别名	lattice cryptography, post-quantum lattice cryptography	PQC, quantum-resistant cryptography, quantum-safe	RSA encryption, RSA public-key cryptography
相关	3	3	4
摘要	Lattice-based cryptography is a class of cryptosystems whose security is derived from the computational hardness of lattice problems, particularly the shortest vector problem (SVP) and learning with errors (LWE). First proposed by Miklós Ajtai in 1996, lattice-based approaches have gained prominence as the leading candidates for post-quantum cryptography. Unlike RSA and ECC, which are vulnerable to quantum computers, lattice problems are believed to remain hard even against quantum algorithms.	Post-quantum cryptography comprises cryptographic algorithms believed to be secure against both classical and quantum computers. In 2022, NIST standardized post-quantum algorithms including ML-KEM (CRYSTALS-Kyber) for key encapsulation and ML-DSA (CRYSTALS-Dilithium) for signatures. Post-quantum cryptography is essential for systems requiring long-term confidentiality, as adversaries may record encrypted communications today and decrypt them once quantum computers become available.	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.