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Accredited Standards Committee X9, ASC X9 Issues New Standard for Public Key Cryptography/ECDSA, Oct. 6, 2020. Source; Accredited Standards Committee X9, American National Standard X9.62-2005, Public Key Cryptography for the Financial Services Industry, The Elliptic Curve Digital Signature Algorithm (ECDSA), November 16, 2005.
Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.ECC allows smaller keys to provide equivalent security, compared to cryptosystems based on modular exponentiation in Galois fields, such as the RSA cryptosystem and ElGamal cryptosystem.
Given a curve, E, defined by some equation in a finite field (such as E: y 2 = x 3 + ax + b), point multiplication is defined as the repeated addition of a point along that curve.
Christof Paar, Jan Pelzl, "Introduction to Public-Key Cryptography", Chapter 6 of "Understanding Cryptography, A Textbook for Students and Practitioners". (companion web site contains online cryptography course that covers public-key cryptography), Springer, 2009.
Ed25519 is the EdDSA signature scheme using SHA-512 (SHA-2) and an elliptic curve related to Curve25519 [2] where =, / is the twisted Edwards curve + =, = + and = is the unique point in () whose coordinate is / and whose coordinate is positive.
From an initialism: This is a redirect from an initialism to a related topic, such as the expansion of the initialism.. Use {{R from acronym}} instead for abbreviations that are pronounced as words, such as NATO and RADAR.
In 1996, Miklós Ajtai introduced the first lattice-based cryptographic construction whose security could be based on the hardness of well-studied lattice problems, [3] and Cynthia Dwork showed that a certain average-case lattice problem, known as short integer solutions (SIS), is at least as hard to solve as a worst-case lattice problem. [4]
Social networks can be used to connect tutors and students, and can allow students to help each other on a peer-to-peer basis. User-generated content can be created by and used by both tutors and students. Online tutors may use Web 2.0 applications to render their online tutoring more flexible and current.