Lacan, Jérôme and Delpeyroux, Emmanuelle The q-ary image of some qm-ary cyclic codes: permutation group and soft-decision decoding. (2002) IEEE Transactions on Information Theory, 4 (7). 2069-2078. ISSN 0018-9448
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(Document in English)
PDF (Publisher's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 628kB |
Official URL: http://dx.doi.org/10.1109/TIT.2002.1013146
Abstract
Using a particular construction of generator matrices of the q-ary image of qm-ary cyclic codes, it is proved that some of these codes are invariant under the action of particular permutation groups. The equivalence of such codes with some two-dimensional (2-D) Abelian codes and cyclic codes is deduced from this property. These permutations are also used in the area of the soft-decision decoding of some expanded Reed–Solomon (RS) codes to improve the performance of generalized minimum-distance decoding.
| Item Type: | Article |
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| Additional Information: | Thanks to IEEE. The original PDF can be found on the IEEE website : http://ieeexplore.ieee.org/search/wrapper.jsp?arnumber=1013146 |
| Audience (journal): | International peer-reviewed journal |
| Uncontrolled Keywords: | |
| Institution: | Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) |
| Laboratory name: | Département de Mathématiques, Informatique, Automatique - DMIA (Toulouse, France) - Modelisation et Architecture des Systèmes - MARS |
| Statistics: | download |
| Deposited On: | 26 May 2009 09:25 |
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