Common Modulus and Chosen-Message Attacks on Public-Key Schemes with Linear Recurrence Relations

@article{Tzeng1999CommonMA,
  title={Common Modulus and Chosen-Message Attacks on Public-Key Schemes with Linear Recurrence Relations},
  author={Wen-Guey Tzeng},
  journal={Inf. Process. Lett.},
  year={1999},
  volume={70},
  pages={153-156}
}
We consider the linear recurrence relation Vt(x)=∑i=1m(aix+bi)Vt−i(x)+cx+f where m≥1, ai and bi, 1≤i≤m, are integers. The RSA and LUC schemes can be defined by this relation. In this paper we show that if the linear recurrence relation has some properties, the public-key scheme based on it cannot withstand the common modulus and chosen-message attacks, no matter what the order m is and what the parameters for ai and bi, 1≤i≤m, are. This implies that the LUC cryptosystem cannot withstand the… CONTINUE READING