New LCD MDS Codes of Non-Reed-Solomon Type
- 주제(키워드) Linear complementary dual codes , LCD codes , MDS codes , non-Reed-Solomon codes , Reed-Solomon codes
- 주제(기타) Computer Science, Information Systems
- 주제(기타) Engineering, Electrical & Electronic
- 설명문(일반) [Wu, Yansheng] Nanjing Univ Posts & Telecommun, Sch Comp Sci, Nanjing 210023, Peoples R China; [Wu, Yansheng] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai, Peoples R China; [Hyun, Jong Yoon] Konkuk Univ, Liberal Arts Coll, Glocal Campus, Chungju 27478, South Korea; [Lee, Yoonjin] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- 발행년도 2021
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000182283
- 본문언어 영어
- Published As http://dx.doi.org/10.1109/TIT.2021.3086818
초록/요약
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).
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