Symbol-triple distance of repeated-root constacyclic codes of prime power lengths
© 2020 World Scientific Publishing Company. Let p be an odd prime, s and m be positive integers and λ be a nonzero element of pm. The λ-constacyclic codes of length ps over pm are linearly ordered under set theoretic inclusion as ideals of the chain ring pm[x]/(xps - λ). Using this structure, the sy...
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| Main Authors: | , , , |
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| Format: | Journal |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85074929597&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67923 |
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| Institution: | Chiang Mai University |
| Summary: | © 2020 World Scientific Publishing Company. Let p be an odd prime, s and m be positive integers and λ be a nonzero element of pm. The λ-constacyclic codes of length ps over pm are linearly ordered under set theoretic inclusion as ideals of the chain ring pm[x]/(xps - λ). Using this structure, the symbol-triple distances of all such λ-constacyclic codes are established in this paper. All maximum distance separable symbol-triple constacyclic codes of length ps are also determined as an application. |
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