Cryptology ePrint Archive: Report 2006/053

Cryptanalysis of the CFVZ cryptosystem

J. J. Climent and E. Gorla and J. Rosenthal

Abstract: The paper analyzes a new public key cryptosystem whose security is based on a matrix version of the discrete logarithm problem over an elliptic curve. It is shown that the complexity of solving the underlying problem for the proposed system is dominated by the complexity of solving a fixed number of discrete logarithm problems in the group of an elliptic curve. Using an adapted Pollard rho algorithm it is shown that this problem is essentially as hard as solving one discrete logarithm problem in the group of an elliptic curve.

Category / Keywords: public-key cryptography / cryptanalysis, cryptographic protocols, one-way functions

Date: received 13 Feb 2006

Contact author: elisa gorla at math unizh ch

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Version: 20060214:163234 (All versions of this report)

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