เปรียบเทียบวิธี

	การเข้ารหัสลับแบบเส้นโค้งวงรี	zk-SNARK
สาขาวิชา	วิทยาการเข้ารหัสลับ	วิทยาการเข้ารหัสลับ
ตระกูล	Machine learning	Machine learning
ปีกำเนิด	1985	2014
ผู้ริเริ่ม	Neal Koblitz	Eli Ben-Sasson
ประเภท	asymmetric encryption and key agreement	zero-knowledge argument of knowledge
แหล่งต้นตำรับ	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., Chiesa, A., Garman, C., Green, M., Miers, I., Tromer, E., & Virza, M. (2014). Zerocash: Decentralized Anonymous Payments from Bitcoin. In IEEE Symposium on Security and Privacy (SP), pp. 459-474.
ชื่อเรียกอื่น	ECC, elliptic curve cryptosystem	zk-SNARK, zero-knowledge proof, SNARK
ที่เกี่ยวข้อง	3	3
สรุป	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-SNARK (Zero-Knowledge Succinct Non-Interactive Argument of Knowledge) is a cryptographic proof system that allows a prover to convince a verifier that a statement is true without revealing any information beyond the statement's validity. The acronym describes its key properties: it requires no interaction, proofs are short (succinct), and verification is efficient. zk-SNARKs were popularized by their application in the Zcash cryptocurrency but have since found use in blockchain scaling solutions, privacy-preserving computations, and verifiable computing.