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

@article{Lacan2002TheQI,
title={The q-ary image of some qm-ary cyclic codes: Permutation group and soft-decision decoding},
author={J{\'e}r{\^o}me Lacan and Emmanuelle Delpeyroux},
journal={IEEE Trans. Information Theory},
year={2002},
volume={48},
pages={2069-2078}
}
Using a particular construction of generator matrices of the -ary image of -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… CONTINUE READING

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