Cyclic and negacyclic codes of length 4 p<sup>s</sup>over F<inf>p</inf><sup>m</sup>+ u F<inf>pm</inf>
© 2018 World Scientific Publishing Company. Let Fpmbe the finite field of order pm, where pmis an odd prime and m is a positive integer. In this paper, we determine the algebraic structures of all cyclic and negacyclic codes of length 4psover the finite commutative chain ring R = Fpm+ uFpm, where u2...
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| Main Authors: | , , , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85029901843&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58796 |
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| Institution: | Chiang Mai University |
| Summary: | © 2018 World Scientific Publishing Company. Let Fpmbe the finite field of order pm, where pmis an odd prime and m is a positive integer. In this paper, we determine the algebraic structures of all cyclic and negacyclic codes of length 4psover the finite commutative chain ring R = Fpm+ uFpm, where u2= 0 and s is a positive integer. We also obtain the number of codewords in each of these codes. Among others, we establish the duals of all such codes and derive some self-dual cyclic and negacyclic codes of length 4psover R. |
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