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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| Veröffentlicht in: | IET communications Jg. 10; H. 4; S. 407 - 415 |
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The Institution of Engineering and Technology
03.03.2016
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Kim, Kwihoon Kim, Il-Min Hajimomeni, Mona Aghaeinia, Hassan |
| Author_xml | – sequence: 1 givenname: Mona surname: Hajimomeni fullname: Hajimomeni, Mona organization: 1Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave, Tehran, Iran – sequence: 2 givenname: Hassan surname: Aghaeinia fullname: Aghaeinia, Hassan email: aghaeini@aut.ac.ir organization: 1Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave, Tehran, Iran – sequence: 3 givenname: Il-Min surname: Kim fullname: Kim, Il-Min organization: 2Department of Electrical and Computer Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada – sequence: 4 givenname: Kwihoon surname: Kim fullname: Kim, Kwihoon organization: 3Future Technology Department, Electronic and Telecommunication Research Institute (ETRI), 218 Gajeong-ro, Yuseong-gu, Daejeon 34129, Korea |
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| Cites_doi | 10.1109/TIT.2009.2021379 10.1109/ITW.2014.6970875 10.1109/TIT.2011.2162275 10.1109/ISIT.2014.6875037 10.1109/ISIT.2011.6034088 10.1109/MSP.2013.2260875 10.1109/TIT.2007.901143 10.1109/TIT.2008.921680 10.1137/S0895480103428338 10.1109/ITA.2010.5454148 10.1109/ISIT.2012.6283739 10.1109/MSP.2013.2265141 10.1109/ITW.2012.6404716 10.1109/TIT.2012.2201374 10.1109/ISIT.2011.6033992 10.1109/Allerton.2011.6120174 10.1109/TIT.2011.2170660 |
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| Keywords | 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 |
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| SubjectTerms | 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 |
| Title | Cooperative jamming polar codes for multiple-access wiretap channels |
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