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The q-ary image of some qm-ary cyclic codes: permutation group and soft-decision decoding

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, vol. 4 (n° 7). pp. 2069-2078. ISSN 0018-9448

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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
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
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Institution: Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
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Deposited By:Jérôme Lacan

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