Iso-orthogonality and Type-II duadic constacyclic codes |
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Institution: | Dept of Mathematics, Central China Normal University, Wuhan 430079, China |
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Abstract: | Generalizing even-like duadic cyclic codes and Type-II duadic negacyclic codes, we introduce even-like (i.e., Type-II) and odd-like duadic constacyclic codes, and study their properties and existence. We show that even-like duadic constacyclic codes are isometrically orthogonal, and the duals of even-like duadic constacyclic codes are odd-like duadic constacyclic codes. We exhibit necessary and sufficient conditions for the existence of even-like duadic constacyclic codes. A class of even-like duadic constacyclic codes which are alternant MDS-codes is constructed. |
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Keywords: | Finite field Constacyclic code Isometry Even-like duadic code Iso-orthogonal code |
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