Порівняння методів

	Криптографія на ґратках	Еліптична криптографія	Криптосистема RSA
Галузь	Криптографія	Криптографія	Криптографія
Родина	Machine learning	Machine learning	Machine learning
Рік появи	1996	1985	1978
Автор методу	Miklós Ajtai	Neal Koblitz	Ronald Rivest
Тип	public-key cryptosystem based on lattice hardness	asymmetric encryption and key agreement	asymmetric encryption algorithm
Основоположне джерело	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.	Miller, V. S. (1985). Use of Elliptic Curves in Cryptography. In Proceedings of the Advances in Cryptology - CRYPTO 1985, LNCS 218, pp. 417-426.	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.
Інші назви	lattice cryptography, post-quantum lattice cryptography	ECC, elliptic curve cryptosystem	RSA encryption, RSA public-key cryptography
Пов'язані	3	3	4
Підсумок	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.	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.	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.