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IEEE International Symposium on Information Theory (ISIT)

Information leakage of heterogeneous encoded correlated sequences over an eavesdropped channel

Reevana Balmahoon, Ling Cheng

Published Jun 1, 2015• 4 citations
Publisher

Abstract

Correlated sources are present in communication systems where protocols ensure that there is some predetermined information for sources. Here correlated sources across an eavesdropped channel that incorporate a heterogeneous encoding scheme and their effect on the information leakage when some channel information and a source have been wiretapped is investigated. The information leakage bounds for this scenario are provided. Further, an implementation method using a matrix partition approach is described.

DOI
10.1109/isit.2015.7282997

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•Jan 1, 2011•55 citations
Correlated sources are present in communication systems where protocols ensure that there is some predetermined information for sources. Here correlated sources across an eavesdropped channel that incorporate a heterogeneous encoding scheme and their effect on the information leakage when some channel information and a source have been wiretapped is investigated. The information leakage bounds for this scenario are provided. Further, an implementation method using a matrix partition approach is described.
Correlated sources are present in communication systems where protocols ensure that there is some predetermined information for sources. Here correlated sources across an eavesdropped channel that incorporate a heterogeneous encoding scheme and their effect on the information leakage when some channel information and a source have been wiretapped is investigated. The information leakage bounds for the Slepian-Wolf scenario are provided. Thereafter, the Shannon cipher system approach is presented. Further, an implementation method using a matrix partition approach is described.
Correlated sources are present in communication systems where protocols ensure that there is some predetermined information for sources. Here, we investigate two correlated sources across the wiretap channel II and their effect on the information leakage when some channel information and some source data symbols (the predetermined information) have been wiretapped. The adversary in this situation has access to more information than if a link is wiretapped only and can thus determine more about a particular source. We show that since the sources are correlated, if the information on one link and a portion of its data symbols are compromised then there is also information leakage for the other source. Further, we describe a method to reduce the information leakage for the scenario where the information from the source data symbols overlaps with the channel information.
Correlated sources are present in communication systems where protocols ensure that there is some predetermined information for sources to transmit. Here, two correlated sources across a channel with eavesdroppers are investigated, and conditions for perfect secrecy when some channel information and some source data symbols (the predetermined information) have been wiretapped are determined. The adversary in this situation has access to more information than if a link is wiretapped only and can thus determine more about a particular source. This scenario caters for an application where the eavesdropper has access to some preexisting information. We provide bounds for the channel and key rates for this scenario. Further, we provide a method to reduce the key lengths required for perfect secrecy.
The problem of secure lossy source-channel wiretapping with arbitrarily correlated side informations at both receivers is investigated. This scenario consists of an encoder (referred to as Alice) that wishes to compress a source and send it through a noisy channel to a legitimate receiver (referred to as Bob). In this context, Alice must simultaneously satisfy the desired requirements on the distortion level at Bob, and the equivocation rate at the eavesdropper (referred to as Eve). This setting can be seen as a generalization of the conventional problems of secure source coding with side information at the decoders, and the wiretap channel. Inner and outer bounds on the rate-distortion-equivocation region for the case of arbitrary channels and side informations are derived. In some special cases of interest, it is shown that separation holds. By means of an appropriate coding, the presence of any statistical difference among the side informations, the channel noises, and the distortion at Bob can be fully exploited in terms of secrecy.
In this study, the authors study lossy communication of correlated sources over a multiple‐access wiretap channel (MAC‐WT). Consider a system with two transmitters, a receiver and an eavesdropper. There are two correlated sources where each of them is observed by the corresponding transmitter, separately. Each transmitter wishes to describe its source sequence to the receiver with a desired distortion. The sources need to be kept secret from the eavesdropper. They find an achievable region for the MAC‐WT with correlated sources by separation. A joint source‐channel coding scheme for the MAC‐WT is also proposed. They consider lossy communication of a bivariate Gaussian source over Gaussian MAC‐WT (GMAC‐WT). They propose a separation‐based achievable scheme for the GMAC‐WT. An achievable region for the GMAC‐WT based on uncoded transmission is also found. They compare the separate and the uncoded schemes for the symmetric GMAC‐WT, where the same constraint on the power of each transmitter is imposed and the same distortion on each source is achieved. For another case of source correlation coefficient, they compare the separate, uncoded and hybrid schemes. They obtain outer bounds to the rate‐distortion‐equivocation region of: (i) the degraded MAC‐WT where the output at the eavesdropper is a degraded version of the output at the receiver, (ii) the GMAC‐WT with independent sources and (iii) the symmetric GMAC‐WT when the correlation of the sources is maximum. Optimal regions for some cases are established.
Abstract—We study the secret-key capacity in a joint source-channel coding setup—the terminals are connected over a discrete memoryless channel and have access to side information, modelled as a pair of discrete memoryless source sequences. As our main result, we establish the upper and lower bounds on the secret-key capacity. In the lower bound expression, the equivocation terms of the source and channel components are functionally additive even though the coding scheme generates a single secret-key by jointly taking into account the source and channel equivocations. Our bounds coincide, thus establishing the capacity, when the underlying wiretap channel can be decomposed into a set of independent, parallel, and reversely degraded channels. For the case of parallel Gaussian channels and jointly Gaussian sources we show that Gaussian codebooks achieve the secret-key capacity. In addition, when the eavesdropper also observes a correlated side information sequence, we establish the secret-key capacity when both the source and channel of the eavesdropper are a degraded version of the legitimate receiver. We finally also treat the case when a public discussion channel is available, propose a separation based coding scheme, and establish its optimality when the channel output symbols of the legitimate receiver and eavesdropper are conditionally independent given the input. Index Terms—Information theoretic security, joint sourcechannel coding, public discussion, secret-key agreement, wiretap channel. I.