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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Wenhui Li Sidorenko, V. Nielsen, J.S.R. |
| Copyright Year | 2013 |
| Description | Author affiliation: Inst. of Commun. Eng., Ulm Univ., Ulm, Germany (Wenhui Li; Sidorenko, V.) || Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark (Nielsen, J.S.R.) |
| Abstract | We model the decoding of Interleaved Chinese Remainder codes as that of finding a short vector in a Z-lattice. Using the LLL algorithm, we obtain an efficient decoding algorithm, correcting errors beyond the unique decoding bound and having nearly linear complexity. The algorithm can fail with a probability dependent on the number of errors, and we give an upper bound for this. Simulation results indicate that the bound is close to the truth. We apply the proposed decoding algorithm for decoding a single CR code using the idea of “Power” decoding, suggested for Reed-Solomon codes. A combination of these two methods can be used to decode low-rate Interleaved Chinese Remainder codes. |
| Starting Page | 1052 |
| Ending Page | 1056 |
| File Size | 150884 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781479904464 |
| ISSN | 21578117 |
| DOI | 10.1109/ISIT.2013.6620387 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2013-07-07 |
| Publisher Place | Turkey |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Decoding Vectors Equations Mathematical model Algorithm design and analysis Complexity theory Lattice reduction Interleaved Chinese Remainder codes Power decoding |
| Content Type | Text |
| Resource Type | Article |
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