On (α + uβ)-constacyclic codes of length 4ps over ð ½pm + uð ½pm∗
© 2019 World Scientific Publishing Company For any odd prime (Formula presented.) such that (Formula presented.) (mod 4), the structures of all (Formula presented.)-constacyclic codes of length (Formula presented.) over the finite commutative chain ring (Formula presented.) (Formula presented.) are...
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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=85044461271&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58817 |
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| Institution: | Chiang Mai University |
| Summary: | © 2019 World Scientific Publishing Company For any odd prime (Formula presented.) such that (Formula presented.) (mod 4), the structures of all (Formula presented.)-constacyclic codes of length (Formula presented.) over the finite commutative chain ring (Formula presented.) (Formula presented.) are established in term of their generator polynomials. When the unit (Formula presented.) is a square, each (Formula presented.)-constacyclic code of length (Formula presented.) is expressed as a direct sum of two constacyclic codes of length (Formula presented.). In the main case that the unit (Formula presented.) is not a square, it is shown that the ambient ring (Formula presented.) is a principal ideal ring. From that, the structure, number of codewords, duals of all such (Formula presented.)-constacyclic codes are obtained. As an application, we identify all self-orthogonal, dual-containing, and the unique self-dual (Formula presented.)-constacyclic codes of length (Formula presented.) over (Formula presented.). |
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