Construction of Codes for Wiretap Channel and Secret Key Agreement from Correlated Source Outputs by Using Sparse Matrices

Computer Science – Information Theory

Scientific paper

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A part of this paper is presented in part at 2009 IEEE Information Theory Workshop (ITW2009), Taormina, Italy, pp.105-109, 200

Scientific paper

The aim of this paper is to prove coding theorems for the wiretap channel coding problem and secret key agreement problem based on the the notion of a hash property for an ensemble of functions. These theorems imply that codes using sparse matrices can achieve the optimal rate. Furthermore, fixed-rate universal coding theorems for a wiretap channel and a secret key agreement are also proved.

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