English

Random Linear Network Codes for Secrecy over Wireless Broadcast Channels

Information Theory 2013-05-07 v1 Cryptography and Security math.IT

Abstract

We consider a set of nn messages and a group of kk clients. Each client is privileged for receiving an arbitrary subset of the messages over a broadcast erasure channel, which generalizes scenario of a previous work. We propose a method for secretly delivering each message to its privileged recipients in a way that each receiver can decode its own messages but not the others'. Our method is based on combining the messages using linear network coding and hiding the decoding coefficients from the unprivileged clients. We provide an information theoretic proof for the secrecy of the proposed method. In particular we show that an unprivileged client cannot obtain any meaningful information even if it holds the entire set of coded data packets transmitted over the channel. Moreover, in our method, the decoding complexity is desirably low at the receiver side.

Keywords

Cite

@article{arxiv.1305.1082,
  title  = {Random Linear Network Codes for Secrecy over Wireless Broadcast Channels},
  author = {Shahriar Etemadi Tajbakhsh and Parastoo Sadeghi},
  journal= {arXiv preprint arXiv:1305.1082},
  year   = {2013}
}
R2 v1 2026-06-22T00:11:51.086Z