Negacyclic codes of length 4p<sup>s</sup>over F<inf>p<sup>m</sup></inf>+uF<inf>p<sup>m</sup></inf>and their duals
© 2018 Elsevier B.V. For any odd prime p, negacyclic codes of length 4p s over the finite commutative chain ring F p m +uF p m are investigated. The algebraic structures of such codes are classified and completely determined. As an application, the number of codewords and the dual of each negacyclic...
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| Main Authors: | , , |
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| Format: | Journal |
| Published: |
2018
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85041686265&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/48445 |
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| Institution: | Chiang Mai University |
| Summary: | © 2018 Elsevier B.V. For any odd prime p, negacyclic codes of length 4p s over the finite commutative chain ring F p m +uF p m are investigated. The algebraic structures of such codes are classified and completely determined. As an application, the number of codewords and the dual of each negacyclic code are obtained. Simpler structure of cyclic codes of length 4p s over F p m +uF p m is also noted. Among others, some self-dual negacyclic and cyclic codes of length 4p s over F p m +uF p m are provided. |
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