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2006•International MultiConference of Engineers and Computer ScientistsRequires access

A Cryptanalysis on a Generalized Threshold Cryptosystem.

Chin‐Chen Chang, Wenbin Wu, Jieh-Shan Yeh

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Abstract

In 1987, Desmedt first proposed a group oriented cryptosystem. During the past decade, group oriented cryptosystem has become one of the important cryptographical primitives. Laih and Harn proposed a generalized threshold cryptosystem with two models in 1991. In their system, each group is only assigned public key. A ciphertext can be decoded by utilizing all the secret keys owned by the users of any access instance. In this paper we will show that Laih-Harn’s generalized threshold cryptosystem can not withstand a cooperative attack. Their cryptosystem is insecure.

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What this paper is about

In 1987, Desmedt first proposed a group oriented cryptosystem. During the past decade, group oriented cryptosystem has become one of the important cryptographical primitives. Laih and Harn proposed a generalized threshold cryptosystem with two models in 1991. In their system, each group is only assigned public key. A ciphertext can be decoded by utilizing all the secret keys owned by the users of any access instance. In this paper we will show that Laih-Harn’s generalized threshold cryptosystem can not withstand a cooperative attack. Their cryptosystem is insecure.

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Available abstract

In 1987, Desmedt first proposed a group oriented cryptosystem. During the past decade, group oriented cryptosystem has become one of the important cryptographical primitives. Laih and Harn proposed a generalized threshold cryptosystem with two models in 1991. In their system, each group is only assigned public key. A ciphertext can be decoded by utilizing all the secret keys owned by the users of any access instance. In this paper we will show that Laih-Harn’s generalized threshold cryptosystem can not withstand a cooperative attack. Their cryptosystem is insecure.

Key concepts: Cryptosystem, Hybrid cryptosystem, Goldwasser–Micali cryptosystem, Threshold cryptosystem, Cryptanalysis, Ciphertext, Computer science, Paillier cryptosystem

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