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- Computer algebra challenges for constructing skew cyclic codes
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Some new linear codes from skew cyclic codes and computer algebra challenges
One of the main problems of coding theory is to construct codes with best possible parameters. Cyclic codes and their various generalizations, such as quasi-twisted codes, have been a fruitful source in achieving this goal. Recently, a new ...
Skew cyclic and skew α1 + uα2 + vα3 + uvα4-constacyclic codes over Fq + uFq + vFq + uvFq
In this note, we study skew cyclic and skew constacyclic codes over the ring R = Fq + uFq + vFq + uvFq where q = pm; p is an odd prime, u2 = u, v2 = v, uv = vu. We show that Gray images of a skew cyclic and skew-constacyclic codes of length n over R are ...
Skew quasi-cyclic codes over Galois rings
Recently there has been a lot of interest on algebraic codes in the setting of skew polynomial rings. In this paper we have studied skew quasi-cyclic (QC) codes over Galois rings. We have given a necessary and sufficient condition for skew cyclic codes ...
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