Paper 2008/411 Original: eprint.iacr.org/2008/411 ↗

Cryptanalysis of LU Decomposition-based Key Pre-distribution Scheme for Wireless Sensor Networks

Bo Zhu
Yanfei Zheng
Yaowei Zhou
Kefei Chen
Abstract

S. J. Choi and H. Y. Youn proposed a key pre-distribution scheme for Wireless Sensor Networks based on LU decomposition of symmetric matrix, and later many researchers did works based on this scheme. Nevertheless, we find a mathematical relationship of L and U matrixes decomposed from symmetric matrix, by using which we can calculate one matrix from another regardless of their product -- the key matrix K. This relationship would profoundly harm the secure implementation of this decomposition scheme in the real world. In this paper, we first present and prove the mathematical theorem. Next we give samples to illustrate how to break the networks by using this theorem. Finally, we state the conclusion and some directions for improving the security of the key pre-distribution scheme.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2008-10-02: last updated
2008-10-02: published
Short URL
https://ia.cr/2008/411
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/411,
      author = {Bo Zhu and Yanfei Zheng and Yaowei Zhou and Kefei Chen},
      title = {Cryptanalysis of LU Decomposition-based Key Pre-distribution Scheme for Wireless Sensor Networks},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/411},
      year = {2008},
      url = {https://eprint.iacr.org/2008/411}
}
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