MDS Symbol-Pair Cyclic Codes of Length 2p<sup>s</sup> over F<inf>p</inf><sup>m</sup>
© 1963-2012 IEEE. Let p be an odd prime, s and m be positive integers. Cyclic codes of length 2ps over Fpm are the ideals (x-1i(x+1)j, where 0 ≤ i, j ≤ ps, of the principal ideal ring Fpm [x]/ x2ps-1. Using this structure, the symbol-pair distances of all cyclic codes of length 2ps over Fpm are comp...
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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=85075757089&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68350 |
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| Institution: | Chiang Mai University |
| Summary: | © 1963-2012 IEEE. Let p be an odd prime, s and m be positive integers. Cyclic codes of length 2ps over Fpm are the ideals (x-1i(x+1)j, where 0 ≤ i, j ≤ ps, of the principal ideal ring Fpm [x]/ x2ps-1. Using this structure, the symbol-pair distances of all cyclic codes of length 2ps over Fpm are completely determined. In addition, we establish all MDS symbol-pair cyclic codes of length 2ps over Fpm. Some MDS symbol-pair cyclic codes are better than all the known ones. Among others, we discuss possible applications to construct quantum MDS symbol-pair codes. |
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