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Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes

Title
Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes
Authors
Wu, YanshengLee, Yoonjin
Ewha Authors
이윤진
SCOPUS Author ID
이윤진scopus
Issue Date
2020
Journal Title
IEEE COMMUNICATIONS LETTERS
ISSN
1089-7798JCR Link

1558-2558JCR Link
Citation
IEEE COMMUNICATIONS LETTERS vol. 24, no. 6, pp. 1159 - 1162
Keywords
Liquid crystal displaysFrequency modulationLinear codesQuantum computingHamming weightIndexesSimplicial complexweight distributionLCD codeself-orthogonal code
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Indexed
SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
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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DOI
10.1109/LCOMM.2020.2982381
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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