Cryptology ePrint Archive: Report 2004/012

Pitfalls in public key cryptosystems based on free partially commutative monoids and groups

Maria Isabel Gonzalez Vasco and Rainer Steinwandt

Abstract: At INDOCRYPT 2003 Abisha, Thomas, and Subramanian proposed two public key schemes based on word problems in free partially commutative monoids and groups. We show that both proposals are vulnerable to chosen ciphertext attacks, and thus in the present form must be considered as insecure.

Category / Keywords: public key cryptography, word problem, finitely presented group

Date: received 19 Jan 2004, last revised 22 Jan 2004

Contact author: migonzalez at escet urjc es

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Version: 20040123:075640 (All versions of this report)

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