Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 421348, 11 pages
Research Article

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

School of Mathemtics, Shandong University, 250100 Jinan, China

Received 10 December 2009; Accepted 22 February 2010

Academic Editor: J. Jiang

Copyright © 2010 Mingqiang Wang and Haifeng Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.