Abstract
In recent years, a super class of quasicyclic codes has appeared – generalized quasicyclic codes [3,16]. Up to coordinate permutation, a QC code is equivalent to a linear code with block-circulant generator matrix. More specifically, the circulant blocks will have the same size, namely the coindex m. The idea of generalized quasicyclic (GQC) codes is to relax this requirement to allow blocks of different sizes. The immediate benefit is to construct codes whose lengths are not multiple of the index. For instance, a GQC code might very well have prime length. The CRT decomposition has been extended to GQC codes at the price of a more complicated notation [3].
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