원문정보
보안공학연구지원센터(IJSEIA)
International Journal of Software Engineering and Its Applications
Vol.4 No.2
2010.04
pp.35-48
피인용수 : 0건 (자료제공 : 네이버학술정보)
초록
영어
In this paper, we discuss an isomorphism between elliptic curves defined over binary fields (curves defined over F2n). We introduce a simple public-key encryption scheme for binary elliptic curves. Here we demonstrate that this encryption scheme is as secure as the EC El Gamal cryptosystem. The basis of the encryption scheme is this isomorphism between binary elliptic curves. We use this same isomorphism, as an implementation tool (to reduce the compu-tational complexity) and later we discuss a broadcast encryption scheme.
목차
Abstract
1 Introduction
2 Background
2.1 The Trace function in F2n
2.2 Elliptic curves defined over F2n
2.3 Isomorphisms of binary elliptic curves
2.4 Elliptic Curve El Gamal public-key encryption (EC ElGamal)
2.5 The first application of the isomorphism
3 Applying the isomorphism to create an encryp-tion scheme
3.1 A Simple Encryption Scheme
3.2 Security Analysis of the encryption scheme
4 Applying the isomorphism to improve an affineimplementation of the scalar multiple
5 Applying the isomorphism to construct a broad-cast encryption scheme
6 Conclusion
References
1 Introduction
2 Background
2.1 The Trace function in F2n
2.2 Elliptic curves defined over F2n
2.3 Isomorphisms of binary elliptic curves
2.4 Elliptic Curve El Gamal public-key encryption (EC ElGamal)
2.5 The first application of the isomorphism
3 Applying the isomorphism to create an encryp-tion scheme
3.1 A Simple Encryption Scheme
3.2 Security Analysis of the encryption scheme
4 Applying the isomorphism to improve an affineimplementation of the scalar multiple
5 Applying the isomorphism to construct a broad-cast encryption scheme
6 Conclusion
References
저자정보
참고문헌
자료제공 : 네이버학술정보