Title :
The q-ary image of some qm-ary cyclic codes: permutation group and soft-decision decoding
Author :
Lacan, Jérome ; Delpeyroux, Emmanuelle
Author_Institution :
Departement de Mathematiques Appliquees et d´´Informatique, ENSICA, Toulouse, France
fDate :
7/1/2002 12:00:00 AM
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
Keywords :
Reed-Solomon codes; cyclic codes; decoding; linear codes; matrix algebra; set theory; 2D Abelian codes; code length; cyclic codes; expanded RS codes; expanded Reed-Solomon codes; generalized minimum-distance decoding; generator matrices; linear code; permutation group; q-ary image; soft-decision decoding; two-dimensional Abelian codes; vector subspace; Algebra; Decoding; Linear code; Satellites; Two dimensional displays; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.1013146
