The q-ary image of some q(m)-ary cyclic codes: Permutation group and soft-decision decoding
Using a particular construction of generator matrices of the q-ary image of q(m)-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.
permutation groups soft-decision decoding q-ary image of q(m)-ary cyclic codes