مقایسهٔ روش‌ها

	رمزنگاری منحنی بیضوی	زی‌کی-استارک
حوزه	رمزنگاری	رمزنگاری
خانواده	Machine learning	Machine learning
سال پیدایش	1985	2018
پدیدآور	Neal Koblitz	Eli Ben-Sasson
نوع	asymmetric encryption and key agreement	transparent zero-knowledge argument of knowledge
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.	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.
نام‌های دیگر	ECC, elliptic curve cryptosystem	zk-STARK, transparent argument of knowledge, STARK
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.	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.