English

Reduction Theorem for Secrecy over Linear Network Code for Active Attacks

Information Theory 2022-04-26 v1 math.IT

Abstract

We discuss the effect of sequential error injection on information leakage under a network code. We formulate a network code for the single transmission setting and the multiple transmission setting. Under this formulation, we show that the eavesdropper cannot improve the power of eavesdropping by sequential error injection when the operations in the network are linear operations. We demonstrate the usefulness of this reduction theorem by applying a concrete example of network.

Keywords

Cite

@article{arxiv.2003.11722,
  title  = {Reduction Theorem for Secrecy over Linear Network Code for Active Attacks},
  author = {Masahito Hayashi and Masaki Owari and Go Kato and Ning Cai},
  journal= {arXiv preprint arXiv:2003.11722},
  year   = {2022}
}
R2 v1 2026-06-23T14:27:39.221Z