A note on the intersection of two distinct constacyclic codes |
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| Institution: | 1. School of Science and Technology, College of arts and science of Hubei Normal University, Huangshi 435109, Hubei, China;2. School of Science, Hubei University of Technology, Wuhan, Hubei 430068, China;1. Department of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China;2. Hubei Key Laboratory of Intelligent Wireless Communications, South-Central University for Nationalities, Wuhan 430074, China;3. Department of Informatics, University of Bergen, N-5020 Bergen, Norway;1. Department of Mathematics, KTH, SE-100 44 Stockholm, Sweden;2. Department of Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, SE-412 96 Gothenburg, Sweden;1. University of Bristol, England, UK;2. University of Glasgow, Scotland, UK;3. The University of New South Wales Canberra, Australia |
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| Abstract: | This note gives a counterexample of a fact applied to the proof of two results in the papers of Dinh and Liu et al. Under suitable conditions, we give a sufficient condition for this fact to be correct. By means of the sufficient condition, we give the correct proof of the two results. |
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| Keywords: | Constacyclic codes Finite fields |
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