Parallel error correcting codes
We introduce the concept of "parallel error correcting" codes, the error correcting codes for parallel channels. Here, a parallel channel is a set of channels such that the additive error over a finite field occurs in one of its members at time T if the same error occurs in all members at...
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| Veröffentlicht in: | IEEE transactions on information theory 2002-04, Vol.48 (4), p.959-962 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We introduce the concept of "parallel error correcting" codes, the error correcting codes for parallel channels. Here, a parallel channel is a set of channels such that the additive error over a finite field occurs in one of its members at time T if the same error occurs in all members at the same time. The set of codewords of a parallel error correcting code has to be a product set, if the messages transmitted are from independent information sources. We present a simple construction of optimal parallel error correcting codes based on ordinary optimal error correcting codes and a construction of optimal linear parallel codes for independent sources based on optimal ordinary linear error correcting codes. The decoding algorithms for these codes are provided as well. |
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| ISSN: | 0018-9448 1557-9654 |
| DOI: | 10.1109/18.992800 |