Few-weight quaternary codes via simplicial complexes

In this paper, we construct quaternary linear codes via simplicial complexes and we also determine the weight distributions of these codes. Moreover, we present an infinite family of minimal quaternary linear codes, which also meet the Griesmer bound.

Bibliographic Details
Main Authors:	Xiaomeng Zhu, Yangjiang Wei
Format:	Article
Language:	English
Published:	AIMS Press 2021-03-01
Series:	AIMS Mathematics
Subjects:	quaternary codes simplicial complexes weight distributions
Online Access:	http://www.aimspress.com/article/doi/10.3934/math.2021303?viewType=HTML

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spelling	doaj-3deb480650d4423ab1d845e071cd2b632021-03-16T01:30:10ZengAIMS PressAIMS Mathematics2473-69882021-03-01655124513210.3934/math.2021303Few-weight quaternary codes via simplicial complexesXiaomeng Zhu 0Yangjiang Wei11. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211100, China2. School of Mathematics and Statistics Sciences, Nanning Normal University, Nanning, 530023, ChinaIn this paper, we construct quaternary linear codes via simplicial complexes and we also determine the weight distributions of these codes. Moreover, we present an infinite family of minimal quaternary linear codes, which also meet the Griesmer bound.http://www.aimspress.com/article/doi/10.3934/math.2021303?viewType=HTMLquaternary codessimplicial complexesweight distributions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xiaomeng Zhu Yangjiang Wei
spellingShingle	Xiaomeng Zhu Yangjiang Wei Few-weight quaternary codes via simplicial complexes AIMS Mathematics quaternary codes simplicial complexes weight distributions
author_facet	Xiaomeng Zhu Yangjiang Wei
author_sort	Xiaomeng Zhu
title	Few-weight quaternary codes via simplicial complexes
title_short	Few-weight quaternary codes via simplicial complexes
title_full	Few-weight quaternary codes via simplicial complexes
title_fullStr	Few-weight quaternary codes via simplicial complexes
title_full_unstemmed	Few-weight quaternary codes via simplicial complexes
title_sort	few-weight quaternary codes via simplicial complexes
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2021-03-01
description	In this paper, we construct quaternary linear codes via simplicial complexes and we also determine the weight distributions of these codes. Moreover, we present an infinite family of minimal quaternary linear codes, which also meet the Griesmer bound.
topic	quaternary codes simplicial complexes weight distributions
url	http://www.aimspress.com/article/doi/10.3934/math.2021303?viewType=HTML
work_keys_str_mv	AT xiaomengzhu fewweightquaternarycodesviasimplicialcomplexes AT yangjiangwei fewweightquaternarycodesviasimplicialcomplexes
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Few-weight quaternary codes via simplicial complexes

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