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A New Method of Constructing a Lattice Basis and Its Applications to Cryptanalyse Short Exponent RSA

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  • Mingqiang Wang
  • Haifeng Zhang

Abstract

We provide a new method of constructing an optimal lattice. Applying our method to the cryptanalysis of the short exponent RSA, we obtain our results which extend Boneh and Durfee's work. Our attack methods are based on a generalization to multivariate modular polynomial equation. The results illustrate the fact that one should be careful when using RSA key generation process with special parameters.

Suggested Citation

  • Mingqiang Wang & Haifeng Zhang, 2010. "A New Method of Constructing a Lattice Basis and Its Applications to Cryptanalyse Short Exponent RSA," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-11, March.
    • Handle: RePEc:hin:jnlmpe:421348
    DOI: 10.1155/2010/421348
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