TY - GEN
T1 - Layered secure broadcasting over MIMO channels and application in secret sharing
AU - Zou, Shaofeng
AU - Liang, Yingbin
AU - Lai, Lifeng
AU - Shamai, Shlomo
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84906545913&partnerID=8YFLogxK
U2 - https://doi.org/10.1109/ISIT.2014.6874862
DO - https://doi.org/10.1109/ISIT.2014.6874862
M3 - منشور من مؤتمر
SN - 9781479951864
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 396
EP - 400
BT - 2014 IEEE International Symposium on Information Theory, ISIT 2014
T2 - 2014 IEEE International Symposium on Information Theory, ISIT 2014
Y2 - 29 June 2014 through 4 July 2014
ER -