An authenticated key agreement protocol using isogenies between elliptic curves

International Journal of Computers, Communications and Control

Volumn 6, Issue 2, 2011, Pages 258-265

  He, Debiao ^a   Chen, Jianhua ^a   Hu, Jin ^a  

^a WUHAN UNIVERSITY   (China)

Author keywords

Elliptic curve; Isogeny; Key agreement protocol; Public key cryptosystem; Quantum computer

Indexed keywords

EID: 79955160951     PISSN: 18419836     EISSN: 18419844     Source Type: Journal    
DOI: 10.15837/ijccc.2011.2.2174     Document Type: Article

References (10)

1. W. Diffie and M. Hellman, New directions in cryptography, IEEE Trans. Info. TH, vol. 22, pp.644-654, 1976.
2. Boneh D., Lipton R. Quantum cryptanalysis of hidden linear functions. Proceedings of the 15th Annual International Cryptology Conference on Advances in Cryptology (LNCS 963), 1995:424-437.
3. Rostovtesv A. and Stolbunov A. Public-key cryptosystem based on isogenies. Cryptology ePrint Archive, Report 2006/145, 2006. http://eprint.iacr.org/.
4. Couveignes J. M., Dewaghe L., Morain F. Isogeny cycles and the schoof-elkies-atkin algorithm. Ecole polytechnique, France, 1996.
5. Elkies N., Elliptic and modular curves over finite fields and related computational issues, Proceedings of a Conference in Honor of A.O.L. Atkin, AMS International Press, 1998, pp.21-76.
6. Muller V., Ein Algorithmus zur Bestimmung der Punktanzahl elliptisher Kurven uber endlichen Korpern der Charakteristik groser drei, 1995. http://www.informatik.tudarmstadt. de/ti/forschung/ecc.
7. F.Morain, E.Schost, Fast Algorithms for Computing Isogenies between Elliptic Curves. http://www.lix.polytechnique.fr/morain/jcomp.pdf, 2006.
8. S. Galbraith. Constructing isogenies between elliptic curves over finite fields, Journal of Computational Mathematics, vol. 2, pp.118-138, 1999.
9. S. Blake-Wilson, D. Johnson and A. Menezes, Key Agreement Protocols and Their Security Analysis, Proceedings of Sixth IMA International Conference on Cryptography and Coding, Cirencester, UK, 1997, pp. 30-45.
10. H. Pan, J.-F. Li, Q.-S. Zheng, A Provable-Security Mutual Authenticated Key Agreement Protocol for Mobile Communication, The 4th International Conference on Wireless Communications, Networking and Mobile Computing, 2008, pp.1-4.