### Abstract

The distributed source coding problem is considered when the sensors, or encoders, are under Byzantine attack; that is, an unknown number of sensors have been reprogrammed by a malicious intruder to undermine the reconstruction at the fusion center. Three different forms of the problem are considered. The first is a variable-rate setup, in which the decoder adaptively chooses the rates at which the sensors transmit. An explicit characterization of the variable-rate minimum achievable sum rate is stated, given by the maximum entropy over the set of distributions indistinguishable from the true source distribution by the decoder. In addition, two forms of the fixed-rate problem are considered, one with deterministic coding and one with randomized coding. The achievable rate regions are given for both these problems, with a larger region achievable using randomized coding, though both are suboptimal compared to variable-rate coding.

Original language | English (US) |
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Title of host publication | Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007 |

Pages | 2121-2125 |

Number of pages | 5 |

DOIs | |

State | Published - Dec 1 2007 |

Event | 2007 IEEE International Symposium on Information Theory, ISIT 2007 - Nice, France Duration: Jun 24 2007 → Jun 29 2007 |

### Publication series

Name | IEEE International Symposium on Information Theory - Proceedings |
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ISSN (Print) | 2157-8101 |

### Other

Other | 2007 IEEE International Symposium on Information Theory, ISIT 2007 |
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Country | France |

City | Nice |

Period | 6/24/07 → 6/29/07 |

### Keywords

- Byzantine attack
- Distributed source coding
- Network security
- Sensor fusion

### ASJC Scopus subject areas

- Theoretical Computer Science
- Information Systems
- Modeling and Simulation
- Applied Mathematics

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## Cite this

*Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007*(pp. 2121-2125). [4557534] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2007.4557534