NDLI: Network error correction from matrix network coding

Content Provider	IEEE Xplore Digital Library
Author	Kwang Taik Kim Chan-Soo Hwang Tarokh, V.
Copyright Year	2011
Description	Author affiliation: School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138 (Tarokh, V.) \|\| ASSIA, Inc., Redwood City, CA 94065 (Chan-Soo Hwang) \|\| Communication and Networking Group, Samsung Advanced Institute of Technology, Yongin, Republic of Korea (Kwang Taik Kim)
Abstract	We present matrix network coding methods that are naturally amenable to a distributed implementation method, i.e., do not require the knowledge of network topology, and that are suitable for network error correction. First, the Singleton bound can be K-fold increased by employing a K×K matrix coefficient. Moreover, we prove that matrix network coding outperforms linear network coding, since it corrects more errors than linear network coding, while the amount of header overhead per packet can be kept the same by reducing the finite field size. This comes from the fact that the finite field size of matrix network coding required to guarantee the sufficient decoding probability is much smaller than linear network coding. Secondly, matrix network coding is refinable in the sense that, by receiving a larger number of network coded packets, larger error correction capabilities are achieved. Simulation results show that matrix network coding can provide 0.7–2[dB] more coding gain than the linear network coding schemes.
Starting Page	1
Ending Page	9
File Size	580632
Page Count	9
File Format	PDF
ISBN	9781457703607
e-ISBN	9781457703614
DOI	10.1109/ITA.2011.5743611
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-02-06
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Linear code Product codes Network coding Ad hoc networks Generators Decoding Error correction codes
Content Type	Text
Resource Type	Article

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