Cooperative jamming polar codes for multiple-access wiretap channels

The authors study cooperative security in the physical layer of wireless systems based on the recently developed polar codes for multiple access channel (MAC). Specifically, the authors first consider the case of a m-user MAC with external eavesdropper. Using polar alignment, the authors formulate a...

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Bibliographic Details
Published in:	IET communications Vol. 10; no. 4; pp. 407 - 415
Main Authors:	Hajimomeni, Mona, Aghaeinia, Hassan, Kim, Il-Min, Kim, Kwihoon
Format:	Journal Article
Language:	English
Published:	The Institution of Engineering and Technology 03.03.2016
Subjects:	2‐user Gaussian wiretap MAC channel Algorithms block error probability Blocking channel coding Channels Coding computational complexity cooperative communication cooperative jamming polar codes cooperative security deterministic binary matrices discrete optimisation problem error statistics Errors external eavesdropper Gaussian Gaussian channels legitimate receiver lower bound low‐complexity suboptimal algorithm matrix algebra multiple access channel multiple‐access wiretap channels multiuser channels multi‐access systems m‐user MAC optimisation Optimization polar alignment polynomial complexity reliability criteria Security Tal–Sharov–Vardy implementation telecommunication network reliability telecommunication security uniform sum secrecy rate maximization upper bound wireless systems telecommunication security channel coding Tal–Sharov–Vardy implementation multiple-access wiretap channels 2-user Gaussian wiretap MAC channel multiuser channels optimisation cooperative jamming polar codes telecommunication network reliability multiple access channel legitimate receiver multi-access systems reliability criteria external eavesdropper Gaussian channels error statistics wireless systems discrete optimisation problem polar alignment cooperative security m-user MAC upper bound lower bound low-complexity suboptimal algorithm cooperative communication matrix algebra polynomial complexity deterministic binary matrices block error probability uniform sum secrecy rate maximization computational complexity
ISSN:	1751-8628, 1751-8636
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Summary:	The authors study cooperative security in the physical layer of wireless systems based on the recently developed polar codes for multiple access channel (MAC). Specifically, the authors first consider the case of a m-user MAC with external eavesdropper. Using polar alignment, the authors formulate a discrete optimisation problem where security and reliability criteria can be handled separately over the bases of a set of deterministic binary matrices. A discrete algorithm with incrementally polynomial complexity is used to maximise the uniform sum secrecy rate of users. Moreover, the proposed coding scheme is shown to achieve strong security for any subset of users. The authors next examine the case of minimum number of cooperative helpers to fulfil a feasible secrecy rate requirement at the legitimate user. Here, a low-complexity suboptimal algorithm is presented with at most one helper more than the optimal solution. Using Tal–Sharov–Vardy implementation of MAC polar codes, secure polar coding is implemented for a 2-user Gaussian wiretap MAC channel. The upper and lower bound of block error probability are compared, respectively, at the legitimate receiver and the eavesdropper. The results demonstrate clearly that with sufficiently long block length, strong secrecy with respect to the eavesdropper is achieved, while block error probability approaches 0.5.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	1751-8628 1751-8636
DOI:	10.1049/iet-com.2015.0624