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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Skachek, V. Milenkovic, O. Nedic, A. |
| Copyright Year | 2012 |
| Description | Author affiliation: McGill University, 3480 University Street, Montréal, QC H3A 2A7, Canada (Skachek, V.) || UIUC, 1308 W. Main Street, Urbana, IL 61801, USA (Milenkovic, O.; Nedic, A.) |
| Abstract | We describe a novel extension of subspace codes for noncoherent networks, suitable for use when the network is viewed as a communication system that introduces both dimension and symbol errors. We show that when symbol erasures occur in a significantly large number of different basis vectors transmitted through the network and when the min-cut of the networks is much smaller then the length of the transmitted codewords, the new family of codes outperforms their subspace code counterparts. For the proposed coding scheme, termed hybrid network coding, we derive two upper bounds on the size of the codes. These bounds represent a variation of the Singleton and of the sphere-packing bound. We show that a simple concatenated scheme that represents a combination of subspace codes and Reed-Solomon codes is asymptotically optimal with respect to the Singleton bound. Finally, we describe two efficient decoding algorithms for concatenated subspace code. |
| Starting Page | 7 |
| Ending Page | 12 |
| File Size | 216174 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781467318907 |
| e-ISBN | 9781467318921 |
| DOI | 10.1109/NETCOD.2012.6261876 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2012-06-29 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Receivers Network coding Physical layer Educational institutions Vectors Encoding Decoding |
| Content Type | Text |
| Resource Type | Article |
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