Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes
- 주제(키워드) Liquid crystal displays , Frequency modulation , Linear codes , Quantum computing , Hamming weight , Indexes , Simplicial complex , weight distribution , LCD code , self-orthogonal code
- 주제(기타) Telecommunications
- 설명문(일반) [Wu, Yansheng; Lee, Yoonjin] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted
- 발행기관 IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000168815
- 본문언어 영어
- Published As https://dx.doi.org/10.1109/LCOMM.2020.2982381
초록/요약
Linear complementary dual (LCD) codes and self-orthogonal codes have attracted wide attention in recent years for some practical applications. Hence, in this letter, we use simplicial complexes for construction of an infinite family of binary LCD codes and two infinite families of binary self-orthogonal codes. Moreover, we explicitly determine the weight distributions of these codes. We obtain binary LCD codes which have minimum weights two or three, and we also find some self-orthogonal codes meeting the Griesmer bound. As examples, we also present some (almost) optimal binary self-orthogonal codes and LCD distance optimal codes.
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