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Eight years ago, Pei et al. described a matrix public-key encryption scheme based on the matrix factorisation over a finite field. Recently, Gu and Zheng also proposed a similar scheme based on the non-abelian factorisation assumption. The security of these schemes is essentially based on a two-side matrices exponentiation (TSME) problem. In this study, the authors show that the TSME problem is susceptible...
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