مقایسهٔ روش‌ها

	رمزنگاری منحنی بیضوی	رمزنگاری پسا-کوانتومی (کیبر)
حوزه	رمزنگاری	رمزنگاری
خانواده	Machine learning	Machine learning
سال پیدایش	1985	2022
پدیدآور	Neal Koblitz	NIST PQC Standardization Project
نوع	asymmetric encryption and key agreement	post-quantum key encapsulation mechanism
منبع بنیادین	Miller, V. S. (1985). Use of Elliptic Curves in Cryptography. In Proceedings of the Advances in Cryptology - CRYPTO 1985, LNCS 218, pp. 417-426.	Avanzi, R., Bos, J., Ducas, L., & Kiltz, E. (2022). CRYSTALS-Kyber algorithm specification and supporting documentation. NIST Post-Quantum Cryptography Project.
نام‌های دیگر	ECC, elliptic curve cryptosystem	PQC, quantum-resistant cryptography, quantum-safe
مرتبط	3	3
خلاصه	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.	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.