Study of Safe Elliptic Curve Cryptography over Gaussian Integer

Author:

NAGANUMA Kazuki1,SUZUKI Takashi1,TSUJI Hiroyuki1,KIMURA Tomoaki1

Affiliation:

1. Kanagawa Institute of Technology

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Reference8 articles.

1. [1] S. Miller, “Use of elliptic curves in cryptography,” Advances in Cryptology — CRYPTO'85, LNCS 218, pp.417-426, 1986. 10.1007/3-540-39799-x_31

2. [2] E. Mohamed and H. Elkamchouchi, “Elliptic curve cryptography over Gaussian integers,” International Journal of Computer Science and Network Security, vol.9, no.1, pp.413-416, 2009.

3. [3] D.M. Harris and S.L. Harris, Digital Design and Computer Architecture, pp.252-253, Elsevier, 2013. 10.1016/C2011-0-04377-6

4. [4] V. Diekert, M. Kufleitner, G. Rosenberger, and U. Hertrampf, Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups, De Gruyter, 2016. 10.1515/9783110413335

5. [5] G.H. Hardy and E.M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford University Press, Oxford, 1979.

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