เปรียบเทียบวิธี

	zk-SNARK	การเข้ารหัสลับแบบเส้นโค้งวงรี	การเข้ารหัสลับฐานแลตทิซ
สาขาวิชา	วิทยาการเข้ารหัสลับ	วิทยาการเข้ารหัสลับ	วิทยาการเข้ารหัสลับ
ตระกูล	Machine learning	Machine learning	Machine learning
ปีกำเนิด	2014	1985	1996
ผู้ริเริ่ม	Eli Ben-Sasson	Neal Koblitz	Miklós Ajtai
ประเภท	zero-knowledge argument of knowledge	asymmetric encryption and key agreement	public-key cryptosystem based on lattice hardness
แหล่งต้นตำรับ	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.	Miller, V. S. (1985). Use of Elliptic Curves in Cryptography. In Proceedings of the Advances in Cryptology - CRYPTO 1985, LNCS 218, pp. 417-426.	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.
ชื่อเรียกอื่น	zk-SNARK, zero-knowledge proof, SNARK	ECC, elliptic curve cryptosystem	lattice cryptography, post-quantum lattice cryptography
ที่เกี่ยวข้อง	3	3	3
สรุป	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.	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.	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.