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

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2 Author(s)
Lacan, J. ; Departement de Mathematiques Appliquees et d''Informatique, ENSICA, Toulouse, France ; Delpeyroux, E.

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

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Information Theory, IEEE Transactions on  (Volume:48 ,  Issue: 7 )