Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE International Symposium on Information Theory (ISIT)

An Achievable Region of Gaussian Wiretap Channel with Side Information

Yanling Chen, A. J. Han Vinck

Published Jun 1, 2007• 5 citations
Publisher

Abstract

We have proved a coding theorem for the discrete memoryless wiretap channel with side information. Extending the result to the Gaussian case, an achievable rate equivocation region is given by using a strategy similar to Costa's method on dirty paper channel. In this paper, we propose an extended region for the Gaussian wiretap channel with side information. On the other hand, it is well known that, to yield the optimal rate, Costa only considers the situation when the codeword sent by the encoder is independent of side information. Here we will show that, for the wiretap channel, to yield higher rate with the same equivocation, it might be a better choice to send a codeword dependent of side information in some cases.

DOI
10.1109/isit.2007.4557175

Related papers

An achievable region for the Gaussian wiretap channel with side information

C. Mitrpant, A. J. Han Vinck, Yuan Luo

In this correspondence, we extend the Gaussian wiretap channel model introduced by Leung-Yan-Cheong and Hellman to the Gaussian wiretap channel with side information by introducing additive white Gaussian interference in the main channel, which is available to the encoder in advance. This model is also an extension of the dirty-paper channel introduced by Costa since its main channel is the dirty-paper channel. A perfect-secrecy-achieving coding strategy for the model is proposed. It is used to derive achievable rates with asymptotic perfect secrecy and an achievable rate-equivocation region. The achievable rates with asymptotic perfect-secrecy are then compared to upper and lower bounds. The comparison indicates that the proposed coding strategy is optimal in some cases.

IEEE Transactions on Information Theory•Apr 28, 2006•123 citations

Wiretap channel with side information

Yanling Chen, A. J. Han Vinck

This paper gives a rate equivocation achievable region for the discrete memoryless wiretap channel with side information. The secrecy capacities in some special cases are also determined. We extend our result to the Gaussian case. It is very interesting to find that, for the wiretap channel, unlike the dirty paper channel, the side information helps to get larger secrecy capacity. Moreover, the rate equivocation region is also larger than that of the Gaussian wiretap channel where the side information is absent

IEEE International Symposium on Information Theory (ISIT)•Jul 1, 2006•26 citations

Wiretap Channel With Side Information

Yanling Chen, A. J. Han Vinck

This correspondence gives an achievable rate equivocation region for the discrete memoryless wiretap channel with side information. We extend our results to the Gaussian case. The main contribution of this correspondence is that, for the Gaussian wiretap channel, the side information helps to get a largersecrecy capacityand a largerrate equivocationregion.

IEEE Transactions on Information Theory•Jan 1, 2008•142 citations

Achieving the perfect secrecy for the gaussian wiretap channel with side information

C. Mitrpant, Yuan Luo, A. J. Han Vinck

This paper extends the Gaussian wiretap channel (GWC) model introduced by Leung-Yan-Cheong and Hellman (1978) to the Gaussian wiretap channel with side information (GWCSI) by adding an additive white Gaussian interference in the main channel, which is available to the encoder in advance. It can also be looked at as an extension of the dirty-paper channel (DPC) introduced by Costa (1983). We propose a coding strategy achieving perfect secrecy for the extended channel, called Gaussian wiretap channel with side information. The corresponding achievable rates with asymptotic perfect secrecy are obtained and compared to known upper and lower bounds.

IEEE International Symposium on Information Theory (ISIT)•Dec 23, 2004•3 citations

On The Achievable Rate Region of a New Wiretap Channel With Side Information

Hamid G. Bafghi, Babak Seyfe, Mahtab Mirmohseni +1 more

A new applicable wiretap channel with separated side information is considered here which consist of a sender, a legitimate receiver and a wiretapper. In the considered scenario, the links from the transmitter to the legitimate receiver and the eavesdropper experience different conditions or channel states. So, the legitimate receiver and the wiretapper listen to the transmitted signal through the channels with different channel states which may have some correlation to each other. It is assumed that the transmitter knows the state of the main channel non-causally and uses this knowledge to encode its message. The state of the wiretap channel is not known anywhere. An achievable equivocation rate region is derived for this model and is compared to the existing works. In some special cases, the results are extended to the Gaussian wiretap channel.

arXiv:1204.0173•Apr 1, 2012•3 citations

On the achievable rate region of a new Gaussian wiretap channel with side information

Hamid G. Bafghi, Babak Seyfe, Mahtab Mirmohseni +1 more

This paper introduces a new applicable Gaussian wiretap channel with side information. In this channel, the state of the channel to the wiretapper is separated from the main channel's one. It means that the legitimate receiver and the wiretapper are listening to the transmitted signal through the different channels with different channel states which may have some correlation to each other. The state of the main channel, is assumed to be known at the transmitter, helps the sender to encrypt its messages. The achievable equivocation-rate region for this model is drived in the Gaussian case and the results are reduced to the previous works as special cases.

IEEE Information Theory Workshop (ITW)•Sep 1, 2012•3 citations
We have proved a coding theorem for the discrete memoryless wiretap channel with side information. Extending the result to the Gaussian case, an achievable rate equivocation region is given by using a strategy similar to Costa's method on dirty paper channel. In this paper, we propose an extended region for the Gaussian wiretap channel with side information. On the other hand, it is well known that, to yield the optimal rate, Costa only considers the situation when the codeword sent by the encoder is independent of side information. Here we will show that, for the wiretap channel, to yield higher rate with the same equivocation, it might be a better choice to send a codeword dependent of side information in some cases.
In this correspondence, we extend the Gaussian wiretap channel model introduced by Leung-Yan-Cheong and Hellman to the Gaussian wiretap channel with side information by introducing additive white Gaussian interference in the main channel, which is available to the encoder in advance. This model is also an extension of the dirty-paper channel introduced by Costa since its main channel is the dirty-paper channel. A perfect-secrecy-achieving coding strategy for the model is proposed. It is used to derive achievable rates with asymptotic perfect secrecy and an achievable rate-equivocation region. The achievable rates with asymptotic perfect-secrecy are then compared to upper and lower bounds. The comparison indicates that the proposed coding strategy is optimal in some cases.
This paper gives a rate equivocation achievable region for the discrete memoryless wiretap channel with side information. The secrecy capacities in some special cases are also determined. We extend our result to the Gaussian case. It is very interesting to find that, for the wiretap channel, unlike the dirty paper channel, the side information helps to get larger secrecy capacity. Moreover, the rate equivocation region is also larger than that of the Gaussian wiretap channel where the side information is absent
This paper extends the Gaussian wiretap channel (GWC) model introduced by Leung-Yan-Cheong and Hellman (1978) to the Gaussian wiretap channel with side information (GWCSI) by adding an additive white Gaussian interference in the main channel, which is available to the encoder in advance. It can also be looked at as an extension of the dirty-paper channel (DPC) introduced by Costa (1983). We propose a coding strategy achieving perfect secrecy for the extended channel, called Gaussian wiretap channel with side information. The corresponding achievable rates with asymptotic perfect secrecy are obtained and compared to known upper and lower bounds.
A new applicable wiretap channel with separated side information is considered here which consist of a sender, a legitimate receiver and a wiretapper. In the considered scenario, the links from the transmitter to the legitimate receiver and the eavesdropper experience different conditions or channel states. So, the legitimate receiver and the wiretapper listen to the transmitted signal through the channels with different channel states which may have some correlation to each other. It is assumed that the transmitter knows the state of the main channel non-causally and uses this knowledge to encode its message. The state of the wiretap channel is not known anywhere. An achievable equivocation rate region is derived for this model and is compared to the existing works. In some special cases, the results are extended to the Gaussian wiretap channel.
This paper introduces a new applicable Gaussian wiretap channel with side information. In this channel, the state of the channel to the wiretapper is separated from the main channel's one. It means that the legitimate receiver and the wiretapper are listening to the transmitted signal through the different channels with different channel states which may have some correlation to each other. The state of the main channel, is assumed to be known at the transmitter, helps the sender to encrypt its messages. The achievable equivocation-rate region for this model is drived in the Gaussian case and the results are reduced to the previous works as special cases.