Towards a Uniform Description of Several Group Based Cryptographic Primitives

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• 作者：Mar¨ªa Isabel Gonz¨¢lez Vasco ; Consuelo Mart¨ªnez and Rainer Steinwandt
• 关键词：public key cryptography ; group ; based cryptography ; finitely presented groups
• 刊名：Designs, Codes and Cryptography
• 出版年：2004
• 出版时间：2004
• 年：2004
• 卷：33
• 期：3
• 页码：215-226
• 全文大小：148 KB

文摘

The public key cryptosystems MST₁ and MST₂ make use of certain kinds of factorizations of finite groups. We show that generalizing such factorizations to infinite groups allows a uniform description of several proposed cryptographic primitives. In particular, a generalization of MST₂ can be regarded as a unifying framework for several suggested cryptosystems including the ElGamal public key system, a public key system based on braid groups, and the MOR cryptosystem.