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ELLIPTIC CURVES PUBLIC KEY TRAITOR TRACING SCHEME | ||
| Journal of University of Anbar for Pure Science | ||
| Article 10, Volume 2, Issue 1, 2008, Pages 106-115 PDF (387.13 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2008.15446 | ||
| Author | ||
| Ali M. Sagheer* | ||
| College of Computer, University of Al-Anbar, Iraq | ||
| Abstract | ||
| In this paper we use the elliptic curves system in the Public Key Traitor Tracing Scheme. The Elliptic Curve points form Abelian group that used in the Public Key Traitor Tracing Scheme. The main advantage of elliptic curves systems is thus their high cryptographic strength relative to the size of the key. We design and implement an elliptic curves public key encryption scheme, in which there is one public encryption key, but many private decryption keys which are distribute through a broadcast channel, the security of the elliptic curves public key encryption scheme based on the Elliptic Curves Decisional Diffie Hellman(ECDDH) problem that is analogous to Decisional Diffie Hellman(DDH) problem, but it is more intractable than DDH problem. | ||
| Keywords | ||
| Traitor Tracing Scheme; Elliptic Curves Cryptography; DDH; ECDDH | ||
| References | ||
|
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[6] Jason Q. Chen (2000). A Survey on Traitor Tracing Schemes, MSc. Thesis, University of Waterloo, Canada.
[7] T. K. Meng (2001). Curves for The Elliptic Curve Cryptosystem, M.Sc. Thesis, University of Singapore.
[8] E. Oswald (2002), Introduction to Elliptic Curve Cryptography, Institute for Applied information Processing and Communication A-8010 Inffeldgasse 16a, Graz, Austria.
[9] J. H. Silverman (1986), The Arithmetic of Elliptic Curves, Graduate Text in Mathematics 106, Springer-Verlag.
[10] S.Y. Yan (2000), Number Theory for Computing, Springer-Verlag. | ||
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