Skew Cyclic and Quasi-Cyclic Codes of Arbitrary Length over Galois Rings

نویسنده

  • Mingzhong Wu
چکیده

We mainly investigate the structures of skew cyclic and skew quasicyclic codes of arbitrary length over Galois rings. Similar to [5], our results show that the skew cyclic codes are equivalent to either cyclic and quasi-cyclic codes over Galois rings. Moreover, we give a necessary and sufficient condition for skew cyclic codes over Galois rings to be free. A sufficient condition for 1-generator skew quasi-cyclic codes to be free is also determined.

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تاریخ انتشار 2013