قارن الطرق

	التشفير بالمنحنى الإهليلجي	zk-STARK
المجال	علم التعمية	علم التعمية
العائلة	Machine learning	Machine learning
سنة النشأة	1985	2018
صاحب الطريقة	Neal Koblitz	Eli Ben-Sasson
النوع	asymmetric encryption and key agreement	transparent zero-knowledge argument of knowledge
المصدر التأسيسي	Miller, V. S. (1985). Use of Elliptic Curves in Cryptography. In Proceedings of the Advances in Cryptology - CRYPTO 1985, LNCS 218, pp. 417-426.	Ben-Sasson, E., Bentov, I., Horesh, Y., & Riabzev, M. (2019). Scalable, transparent, and post-quantum secure computational integrity. In IACR Cryptology ePrint Archive, Report 2018/046.
الأسماء البديلة	ECC, elliptic curve cryptosystem	zk-STARK, transparent argument of knowledge, STARK
ذات صلة	3	3
الملخص	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.	A zk-STARK (Zero-Knowledge Scalable Transparent Argument of Knowledge) is a cryptographic proof system allowing a prover to convince a verifier of a computation's correctness without trusted setup or revealing computational details. Introduced by Ben-Sasson and colleagues in 2018, zk-STARKs address a key limitation of zk-SNARKs: they require no preprocessing phase vulnerable to corruption. Instead, STARKs rely only on cryptographic hash functions, making them simpler, more transparent, and believed to be post-quantum secure.