Network Error Correction Coding In Packetized Networks
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477–483Matroidal error correction networks and linear network error correction MDS http://link.springer.com/article/10.1007/s11859-013-0960-6 codesAuthorsAuthors and affiliationsHang ZhouEmail authorGuangjun LiuArticleFirst Online: 13 December 2013Received: 27 April 2013DOI: 10.1007/s11859-013-0960-6Cite this article as: Zhou, H. & Liu, G. Wuhan Univ. J. Nat. Sci. (2013) 18: 477. doi:10.1007/s11859-013-0960-6AbstractIn this paper, we further study the connections between linear network error correction codes and representable network error matroids. We extend the concept of matroidal network introduced by Dougherty et al. to a generalized case when errors occur in multiple channels. Importantly, we show the necessary and sufficient conditions on the existence of linear network error correction multicast/ broadcast/dispersion maximum distance network error correction separable (MDS) code on a matroidal error correction network.Key wordsnetwork error correction codeerror patternimaginary error channelsextended networkmatroidFoundation item: Supported by the National Natural Science Foundation of China (61271174, 61272492)Biography: ZHOU Hang, male, Associate professor, Ph.D. candidate, research direction: network coding and matroid theory.CLC numberTN 915.01TN 919.3+1References[1]Cai N, Yeung R W. Network coding and error correction [C] //Proc IEEE Information Theory Workshop. Bangalore: IEEE Press, 2002: 119–122.Google Scholar[2]Yeung R W, Cai N. Network error correction, part I: Basic concepts and upper bounds [J]. Communications in Infomation and Systems, 2006, 6: 19–36.CrossRefGoogle Scholar[3]Cai N, Yeung R W. Network error correction, part II: Lower bounds [J]. Communications in Infomation and Systems, 2006, 6: 37–54.CrossRefGoogle Scholar[4]Zhang Z. Linear network error correction codes in packet networks [J]. IEEE TransInf Theory, 2008, 54(1): 209–218.CrossRefGoogle Scholar[5]Matsumot