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Cryptanalysis of the CFVZ cryptosystem


Climent, J J; Gorla, E; Rosenthal, J (2007). Cryptanalysis of the CFVZ cryptosystem. Advances in Mathematics of Communications, 1(1):1-11.

Abstract

The paper analyzes CFVZ, 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. Hence, the CFVZ cryptosystem has no advantages over traditional elliptic curve cryptography and should not be used in practice.

The paper analyzes CFVZ, 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. Hence, the CFVZ cryptosystem has no advantages over traditional elliptic curve cryptography and should not be used in practice.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2007
Deposited On:08 Dec 2009 08:18
Last Modified:05 Apr 2016 13:23
Publisher:American Institute of Mathematical Sciences
ISSN:1930-5338
Additional Information:First published in Advances in Mathematics of Communication in vol. 1, no. 1 (2007), published by the American Institute of Mathematical Sciences and Shandong University
Publisher DOI:10.3934/amc.2007.1.1
Permanent URL: http://doi.org/10.5167/uzh-21527

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