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New LCD MDS Codes of Non-Reed-Solomon Type
- Title
- New LCD MDS Codes of Non-Reed-Solomon Type
- Authors
- Wu, Yansheng; Hyun, Jong Yoon; Lee, Yoonjin
- Ewha Authors
- 이윤진
- SCOPUS Author ID
- 이윤진
- Issue Date
- 2021
- Journal Title
- IEEE TRANSACTIONS ON INFORMATION THEORY
- ISSN
- 0018-9448
1557-9654
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY vol. 67, no. 8, pp. 5069 - 5078
- Keywords
- Linear complementary dual codes; LCD codes; MDS codes; non-Reed-Solomon codes; Reed-Solomon codes
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- Both linear complementary dual (LCD) codes and maximum distance separable (MDS) codes have good algebraic structures, and they have interesting practical applications such as communication systems, data storage, quantum codes, and so on. So far, most of LCD MDS codes have been constructed by employing generalized Reed-Solomon codes. In this paper we construct some classes of new Euclidean LCD MDS codes and Hermitian LCD MDS codes which are not monomially equivalent to Reed-Solomon codes, called LCD MDS codes of non-Reed-Solomon type. Our method is based on the constructions of Beelen et al. (2017) and Roth and Lempel (1989). To the best of our knowledge, this is the first paper on the construction of LCD MDS codes of non-Reed-Solomon type; any LCD MDS code of non-Reed-Solomon type constructed by our method is not monomially equivalent to any LCD code constructed by the method of Carlet et al. (2018).
- DOI
- 10.1109/TIT.2021.3086818
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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