A Survey Report On Elliptic Curve Cryptography
| Autor: | Samta Gajbhiye, Samir Dashputre, Monisha Sharma |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
General Computer Science
Hessian form of an elliptic curve Algebra Elliptic curve point multiplication Jacobian curve Curve25519 Hyperelliptic curve cryptography Hardware_ARITHMETICANDLOGICSTRUCTURES Electrical and Electronic Engineering Elliptic curve cryptography Hyperelliptic curve Tripling-oriented Doche–Icart–Kohel curve Computer Science::Cryptography and Security Mathematics |
| Zdroj: | International Journal of Electrical and Computer Engineering (IJECE). 1 |
| ISSN: | 2088-8708 |
| DOI: | 10.11591/ijece.v1i2.86 |
| Popis: | The paper presents an extensive and careful study of elliptic curve cryptography (ECC) and its applications. This paper also discuss the arithmetic involved in elliptic curve and how these curve operations is crucial in determining the performance of cryptographic systems. It also presents different forms of elliptic curve in various coordinate system , specifying which is most widely used and why. It also explains how isogenenies between elliptic curve provides the secure ECC. Exentended form of elliptic curve i.e hyperelliptic curve has been presented here with its pros and cons. Performance of ECC and HEC is also discussed based on scalar multiplication and DLP. Keywords : Elliptic curve cryptography (ECC), isogenies, hyperelliptic curve (HEC) , Discrete Logarithm Problem (DLP), Integer Factorization , Binary Field, Prime Field DOI: http://dx.doi.org/10.11591/ijece.v1i2.86 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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