New algorithm for variable-rate linear broadcast network coding
To adjust the variance of source rate in linear broadcast networks, global encoding kernels should have corresponding dimensions to instruct the decoding process. The algorithm of constructing such global encoding kernels is to adjust heterogeneous network to possible link failures. Linear algebra,...
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| Published in | Journal of Central South University of Technology. Science & technology of mining and metallurgy Vol. 18; no. 4; pp. 1193 - 1199 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Central South University
01.08.2011
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1005-9784 1993-0666 |
| DOI | 10.1007/s11771-011-0822-3 |
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| Abstract | To adjust the variance of source rate in linear broadcast networks, global encoding kernels should have corresponding dimensions to instruct the decoding process. The algorithm of constructing such global encoding kernels is to adjust heterogeneous network to possible link failures. Linear algebra, graph theory and group theory are applied to construct one series of global encoding kernels which are applicable to all source rates. The effectiveness and existence of such global encoding kernels are proved. Based on information flow, the algorithm of construction is explicitly given within polynomial time
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| AbstractList | To adjust the variance of source rate in linear broadcast networks, global encoding kernels should have corresponding dimensions to instruct the decoding process. The algorithm of constructing such global encoding kernels is to adjust heterogeneous network to possible link failures. Linear algebra, graph theory and group theory are applied to construct one series of global encoding kernels which are applicable to all source rates. The effectiveness and existence of such global encoding kernels are proved. Based on information flow, the algorithm of construction is explicitly given within polynomial time
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|·|
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|·
ω
max
2
), and the memory complexity of algorithm is
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(|
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|). Both time and memory complexity of this algorithm proposed can be
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| Author | Huang, Jia-qing Zhang, Ti-yuan Xia, Yin |
| Author_xml | – sequence: 1 givenname: Yin surname: Xia fullname: Xia, Yin organization: Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Hubei Provincial Key Laboratory of Smart Internet, Huazhong University of Science and Technology – sequence: 2 givenname: Ti-yuan surname: Zhang fullname: Zhang, Ti-yuan email: zhangty@mail.hust.edu.cn organization: Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Hubei Provincial Key Laboratory of Smart Internet, Huazhong University of Science and Technology – sequence: 3 givenname: Jia-qing surname: Huang fullname: Huang, Jia-qing organization: Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Hubei Provincial Key Laboratory of Smart Internet, Huazhong University of Science and Technology |
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| Issue | 4 |
| Keywords | code construction algorithm network coding linear broadcast heterogeneous network variable-rate |
| Language | English |
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| References_xml | – reference: FanP.-yi.Network information theory [M]2009BeijingTsinghua University Press109147 – reference: FragouliC.SoljaninE.Network coding fundamentals [J]Foundations and Trends in Networking2007121133 – reference: YangY.-xian.Network coding theory and technology [M]2009BeijingNational Defense Industry Press1229 – reference: MA W Y, BEDNER I, CHANG G., KUCHINSKY A, ZHANG H J. A framework for adaptive content delivery in heterogeneous network environments [C]// Proc 2000 MMCN. San Jose, USA, 2000: 86–100. – reference: KoetterR.MedardM.An algebraic approach to network coding [J]IEEE Transactions on Networking200311578279510.1109/TNET.2003.818197 – reference: YeungR. W.LiS. R.CaiN.ZhagZhen.Network coding theory [M]2005Boston-DelftNow Publisher Inc1150 – reference: AhlswedeR.CaiN.LiS. R.YeungR. W.Network information flow [J]IEEE Transactions on Information Theory2000464120412160991.9001510.1109/18.8506631768542 – reference: FongS. L.YeungR. W.Variable-rate linear network coding [C]Information Theory Workshop2006UruguaryPuntadel Este40941210.1109/ITW.2006.322849 – reference: LI S R, CAI] Ning, YEUNG R W. On theory of linear network coding [C]// ISIT Inf Theory. Adelaide, Austrialia, 2005: 273–277. – reference: GOSELING J, WEBER J H. Multi-rate network coding for minimum-cost multicasting [C]// IEEE Symposium on Information Theory. 2008: 36–40. – reference: GUO Qin, ZHUO Xin-jian, MA Song-ya, LUO Ming-xing, YANG Yi-xian. Algorithms of variable-rate linear network coding [C]// Proc of Triangle Symposium on Advanced ICT. Daejeon, Republic of Korea, 2008: 1–6. – reference: MaS.-y.ChenX.-b.LuoM.-x.YangY.-xian.Variable-rate Convolutional network coding [J]The Journal of China Universities of Post and Telecommunications2010173919610.1016/S1005-8885(09)60462-3 – reference: YeungR.-W.Information theory and network coding [M]2008New YorkSpringer41154110.1007/978-0-387-79234-7_17 – reference: HoT.LunD. S.Network coding: An introduction [M]2008Cambridge, UKCambridge University Press138510.1017/CBO9780511754623 – reference: JaggiS.SandersP.ChouP. A.EffrosM.EgnerS.JainS.TolhuizenL.Polynomial time algorithms for multicast network code construction [J]IEEE Transactions on Information Theory20055161973198210.1109/TIT.2005.8477122235277 – reference: SADEGHI P, TRASKOV D, KOETTER R. Adaptive network coding for broadcast channels [C]// Workshop on Digital Object Identifier NetCod. Lausanne, Switzerland, 2009: 80–85 – reference: LiS. R.YeungR. W.CaiNing.Linear network coding [J]IEEE Transactions on Information Theory20034923713811063.9400410.1109/TIT.2002.8072851966785 – reference: HoT.MedardM.KoetterR.KargerD.EffrosM.ShiJ.LeongB.A random linear network coding approach to multicast [J]IEEE Transactions on Information Theory200452104413443010.1109/TIT.2006.8817462300827 – ident: 822_CR17 – start-page: 409 volume-title: Information Theory Workshop year: 2006 ident: 822_CR15 doi: 10.1109/ITW.2006.322849 – ident: 822_CR13 doi: 10.1109/NETCOD.2009.5191398 – volume: 52 start-page: 4413 issue: 10 year: 2004 ident: 822_CR11 publication-title: IEEE Transactions on Information Theory doi: 10.1109/TIT.2006.881746 – volume: 17 start-page: 91 issue: 3 year: 2010 ident: 822_CR18 publication-title: The Journal of China Universities of Post and Telecommunications doi: 10.1016/S1005-8885(09)60462-3 – volume: 1 start-page: 1 issue: 2 year: 2007 ident: 822_CR5 publication-title: Foundations and Trends in Networking – start-page: 13 volume-title: Network coding: An introduction [M] year: 2008 ident: 822_CR6 doi: 10.1017/CBO9780511754623.003 – volume: 11 start-page: 782 issue: 5 year: 2003 ident: 822_CR9 publication-title: IEEE Transactions on Networking doi: 10.1109/TNET.2003.818197 – volume: 51 start-page: 1973 issue: 6 year: 2005 ident: 822_CR10 publication-title: IEEE Transactions on Information Theory doi: 10.1109/TIT.2005.847712 – start-page: 109 volume-title: Network information theory [M] year: 2009 ident: 822_CR4 – start-page: 1 volume-title: Network coding theory and technology [M] year: 2009 ident: 822_CR3 – start-page: 411 volume-title: Information theory and network coding [M] year: 2008 ident: 822_CR2 doi: 10.1007/978-0-387-79234-7_17 – volume: 49 start-page: 371 issue: 2 year: 2003 ident: 822_CR8 publication-title: IEEE Transactions on Information Theory doi: 10.1109/TIT.2002.807285 – volume: 46 start-page: 1204 issue: 4 year: 2000 ident: 822_CR7 publication-title: IEEE Transactions on Information Theory doi: 10.1109/18.850663 – start-page: 11 volume-title: Network coding theory [M] year: 2005 ident: 822_CR1 – ident: 822_CR16 doi: 10.1109/ISIT.2008.4594943 – ident: 822_CR12 doi: 10.1117/12.373537 – ident: 822_CR14 doi: 10.1109/ISIT.2005.1523337 |
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| Title | New algorithm for variable-rate linear broadcast network coding |
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