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IEEE Conference on Communications and Network Security

On secure communication over the Z-Channel

Fayed Abdallah, Tamer M. Khattab, Lifeng Lai

Published Oct 1, 2016• 0 citations
Publisher

Abstract

The discrete memoryless Z-Channel (DM-ZC) with a confidential cross-message is considered. Three messages are transmitted; encoder 1 transmits one message to be decoded by decoder 1. Encoder 2 transmits two messages, the first of them is to be decoded by decoder 2; the second message is to be decoded by decoder 1 and is required to be kept secret from decoder 2. The secrecy level is measured by the equivocation rate. An outer bound on a class of degraded DM-ZC is derived. An achievable secrecy-rate region of a special case of this class is obtained. Finally, a general inner bound for the secrecy-capacity region of the DM-ZC is proposed.

DOI
10.1109/cns.2016.7860557

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The discrete memoryless Z-Channel (DM-ZC) with a confidential cross-message is considered. Three messages are transmitted; encoder 1 transmits one message to be decoded by decoder 1. Encoder 2 transmits two messages, the first of them is to be decoded by decoder 2; the second message is to be decoded by decoder 1 and is required to be kept secret from decoder 2. The secrecy level is measured by the equivocation rate. An outer bound on a class of degraded DM-ZC is derived. An achievable secrecy-rate region of a special case of this class is obtained. Finally, a general inner bound for the secrecy-capacity region of the DM-ZC is proposed.
The discrete memoryless Z-Channel with a confidential message and a cooperative receiver (DM-ZC-CMCR) is considered. A noiseless one-sided rate-limited cooperation link exists between the two receivers. The secrecy level is measured by the equivocation rate. An outer bound on the secrecy-capacity-region DM-ZC-CMCR is derived. An achievable secrecy-rate region is proposed. The secrecy-sum capacity of a class of physically degraded DM-ZC-CMCR is characterized. An outer bound on the secrecy-capacity region for the physically degraded-Gaussian-ZC-CMCR (PD-Gaussian-ZC-CMCR) is derived. The secrecy-sum capacity for a class of physically degraded Gaussian-ZC-CMCR is characterized.
This paper studies capacity bounds for discrete memoryless broadcast channels with confidential messages. Two private messages as well as a common message are transmitted; the common message is to be decoded by both receivers, while each private message is only for its intended receiver. In addition, each private message is to be kept secret from the unintended receiver where secrecy is measured by equivocation. Both inner and outer bounds are proposed to the rate equivocation region for broadcast channels with confidential messages. The proposed inner bound generalizes Csiszar and Korner's rate equivocation region for broadcast channels with a single confidential message, Liu 's achievable rate region for broadcast channels with perfect secrecy, Marton's and Gel'fand-Pinsker's achievable rate region for general broadcast channels. The proposed outer bounds, together with the inner bound, help establish the rate equivocation region of several classes of discrete memoryless broadcast channels with confidential messages, including the less noisy, deterministic, and semideterministic broadcast channels. Furthermore, specializing to the general broadcast channel by removing the confidentiality constraint, the proposed outer bounds reduce to new capacity outer bounds for the discrete memory broadcast channel.
We studyinformation-theoretic securityfor discrete memorylessinterferenceandbroadcastchannels with independent confidential messages sent to two receivers. Confidential messages are transmitted to their respective receivers while ensuring mutual information-theoretic secrecy. That is, each receiver is kept in total ignorance with respect to the message intended for the other receiver. The secrecy level is measured by the equivocation rate at the eavesdropping receiver. In this paper, we present inner and outer bounds on secrecy capacity regions for these two communication systems. The derived outer bounds have an identical mutual information expression that applies to both channel models. The difference is in the input distributions over which the expression is optimized. The inner bound rate regions are achieved byrandom binningtechniques. For the broadcast channel, adouble-binningcoding scheme allows for both joint encoding and preserving of confidentiality. Furthermore, we show that, for a special case of the interference channel, referred to as theswitchchannel, derived bounds meet. Finally, we describe several transmission schemes for Gaussian interference channels and derive their achievable rate regions while ensuring mutual information-theoretic secrecy. An encoding scheme in which transmitters dedicate some of their power to createartificial noiseis proposed and shown to outperform both time-sharing and simple multiplexed transmission of the confidential messages.
A discrete memoryless multiple-access channel (MAC) with confidential messages is studied, where two users attempt to transmit common information to a destination and each user also has private (confidential) information intended for the destination. This channel generalizes the classical MAC model in that each user also receives channel outputs, and hence may obtain the confidential information sent by the other user from the channel output it receives. However, each user views the other user as a wiretapper or eavesdropper, and wishes to keep its confidential information as secret as possible from the other user. The level of secrecy of the confidential information is measured by the equivocation rate, i.e., the entropy rate of the confidential information conditioned on channel outputs at the wiretapper (the other user). The performance measure is the rate-equivocation tuple that includes the common rate, two private rates, and two equivocation rates as components. The set that includes all achievable rate-equivocation tuples is referred to as the capacity-equivocation region. The case of perfect secrecy is particularly of interest, in which each user's confidential information is perfectly hidden from the other user. The set that includes all achievable rates with perfect secrecy is referred to as the secrecy capacity region. For the MAC with two confidential messages, in which both users have confidential messages for the destination, inner bounds on the capacity-equivocation region, and secrecy capacity region are obtained. It is demonstrated that there is a tradeoff between the two equivocation rates (secrecy levels) achieved for the two confidential messages. For the MAC with one confidential message, in which only one user (user 1) has private (confidential) information for the destination, inner and outer bounds on the capacity-equivocation region are derived. These bounds match partially, and hence the capacity-equivocation region is partially characterized. Furthermore, the outer bound provides a tight converse for the case of perfect secrecy, and hence establishes the secrecy capacity region. A class of degraded MACs with one confidential message is further studied, and the capacity-equivocation region and the secrecy capacity region are established. These results are further explored via two example channels: the binary and Gaussian MACs. For both channels, the capacity-equivocation regions and the secrecy capacity regions are obtained.
In this paper, we study the problem of secret communication over a Compound Multiple Access Channel (MAC). In this channel, we assume that one of the transmitted messages is confidential that is only decoded by its corresponding receiver and kept secret from the other receiver. For this proposed setting (compound MAC with confidential messages), we derive general inner and outer bounds on the secrecy capacity region. Also, as examples, we investigate `Less noisy' and `Gaussian' versions of this channel, and extend the results of the discrete memoryless version to these cases. Moreover, providing numerical examples for the Gaussian case, we illustrate the comparison between achievable rate regions of compound MAC and compound MAC with confidential messages.