Weaknesses of a public-key cryptosystem based on factorizations of finite groups

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Abstract

Recently, Qu and Vanstone have announced the construction of several new public-key cryptosystems based on group factorization. One of these was described at the last AUSCRYPT meeting [2]. We point out a serious weakness of this last system which makes it insecure. Our method only uses elementary algebra.

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Blackburn, S., Murphy, S., & Stern, J. (1994). Weaknesses of a public-key cryptosystem based on factorizations of finite groups. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 765 LNCS, pp. 50–54). Springer Verlag. https://doi.org/10.1007/3-540-48285-7_5

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