A q-polynomial approach to constacyclic codes |
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Affiliation: | Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China |
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Abstract: | As a generalization of cyclic codes, constacyclic codes is an important and interesting class of codes due to their nice algebraic structures and various applications in engineering. This paper is devoted to the study of the q-polynomial approach to constacyclic codes. Fundamental theory of this approach will be developed, and will be employed to construct some families of optimal and almost optimal codes in this paper. |
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Keywords: | Linear codes Constacyclic codes Optimal codes |
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