Layered secure broadcasting over MIMO channels and application in secret sharing

Shaofeng Zou, Yingbin Liang, Lifeng Lai, Shlomo Shamai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

In this paper, the degraded Gaussian Multiple-Input-Multiple-Output (MIMO) broadcast channel with layered decoding and secrecy constraints is investigated. In this model, there are in total K messages and K receivers that are ordered by the channel quality. Each receiver is required to decode one more message than the receiver with one level worse channel quality. Furthermore, this message should be kept secure from the receivers with worse channel qualities. The secrecy capacity region for this model is fully characterized. The converse proof relies on a novel construction of a series of covariance matrices. An application of this model to the problem of sharing multiple secrets, which is difficult to solve using number theoretic tools, is investigated. The secret sharing capacity region is characterized by reformulating the secret sharing problem as the secure communication problem over the K-receiver degraded Gaussian MIMO broadcast channel.

Original languageEnglish (US)
Title of host publication2014 IEEE International Symposium on Information Theory, ISIT 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages396-400
Number of pages5
ISBN (Print)9781479951864
DOIs
StatePublished - Jan 1 2014
Event2014 IEEE International Symposium on Information Theory, ISIT 2014 - Honolulu, HI, United States
Duration: Jun 29 2014Jul 4 2014

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095

Other

Other2014 IEEE International Symposium on Information Theory, ISIT 2014
CountryUnited States
CityHonolulu, HI
Period6/29/147/4/14

ASJC Scopus subject areas

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

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    Zou, S., Liang, Y., Lai, L., & Shamai, S. (2014). Layered secure broadcasting over MIMO channels and application in secret sharing. In 2014 IEEE International Symposium on Information Theory, ISIT 2014 (pp. 396-400). [6874862] (IEEE International Symposium on Information Theory - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2014.6874862