English

Secure Index Coding: Existence and Construction

Information Theory 2016-11-17 v2 math.IT

Abstract

We investigate the construction of weakly-secure index codes for a sender to send messages to multiple receivers with side information in the presence of an eavesdropper. We derive a sufficient and necessary condition for the existence of index codes that are secure against an eavesdropper with access to any subset of messages of cardinality tt, for any fixed tt. In contrast to the benefits of using random keys in secure network coding, we prove that random keys do not promote security in three classes of index-coding instances.

Keywords

Cite

@article{arxiv.1602.01149,
  title  = {Secure Index Coding: Existence and Construction},
  author = {Lawrence Ong and Badri N. Vellambi and Phee Lep Yeoh and Jörg Kliewer and Jinhong Yuan},
  journal= {arXiv preprint arXiv:1602.01149},
  year   = {2016}
}

Comments

Author final manuscript (to be presented at the 2016 IEEE International Symposium on Information Theory)

R2 v1 2026-06-22T12:42:26.952Z