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Secure error-correcting (SEC) schemes for network coding through McEliece cryptosystem

  • Guangzhi Zhang
  • Shaobin Cai
Article

Abstract

The McEliece cryptosystem based on rank-metric codes is presented to offer both security and error-correction simultaneously in random network coding system. In the multicast network, the original messages are encoded with McEliece cryptosystem based on Gabidulin codes. Key distribution will be done one time. The rank codes decoding is performed in the sink. As long as \(t < {d_R}\left( C \right) /2\), the decoding is guaranteed, where t is the number of corrupted packets and \({d_R}\left( C \right) \) is the minimum rank distance of the rank codes C. Original messages are protected based on the cryptosystem. Compared with the rate \(\mathrm{{n}} - \mu - 2t\) in traditional SEC network codes, the rate approaches \(\mathrm{{n}} - 2t\) where \(\mu \) is the number of eavesdroppers. The rate won’t decrease as the number of eavesdropped edges increases.

Keywords

Security and error-correction Network coding Gabidulin codes Subspace distance McEliece cryptosystem 

Notes

Acknowledgements

This work is supported by Suihua technology office program (SHKJ2015-015, SHKJ2015-014 ), National Science foundation of China (61571150), Education Office of Heilongjiang province science and technology program (2016-KYYWF-0937), Suihua university program (K1502003).

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Computer Science DepartmentHarbin Engineering UniversityHarbinChina
  2. 2.Suihua UniversitySuihuaChina

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