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We investigate a -invariant linear code over the finite field where is a group of linear transformations. We show that if is a noncyclic abelian group and , then the code is the sum of the centralizer codes where is a nonidentity element of . Moreover if is subgroup of such that , , then dim is known when the dimension of is known for each subgroup of . In the last few sections we restrict our scope of investigation to a special class of invariant codes, namely affine...
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