More Constructions of 3-Weight Linear Codes

More Constructions of 3-Weight Linear Codes

Linear codes with few weights have become an interesting research topic and important applications of cryptography and coding theory. In this paper, we apply some ternary near-bent and 2-plateaued functions or r-ary functions to construct more 3-weight linear codes, where r is a prime. Moreover, we...

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Main Authors: Lingyong Ma, Guanjun Li, Fengyan Liu
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6662843
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spelling doaj-27e6bb3c3da049deab662c32965009e92021-02-15T12:53:05ZengHindawi LimitedJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66628436662843More Constructions of 3-Weight Linear CodesLingyong Ma0Guanjun Li1Fengyan Liu2College of Computer and Information Sciences, City College of Dongguan University of Technology, Dongguan 523106, Guangdong, ChinaSchool of Finance and Mathematics, Huainan Normal University, Huainan 232038, Anhui, ChinaSchool of Finance and Mathematics, Huainan Normal University, Huainan 232038, Anhui, ChinaLinear codes with few weights have become an interesting research topic and important applications of cryptography and coding theory. In this paper, we apply some ternary near-bent and 2-plateaued functions or r-ary functions to construct more 3-weight linear codes, where r is a prime. Moreover, we determine the weight distributions of the resulted linear codes by means of some exponential sums.http://dx.doi.org/10.1155/2021/6662843
collection DOAJ
language English
format Article
sources DOAJ
author Lingyong Ma
Guanjun Li
Fengyan Liu
spellingShingle Lingyong Ma
Guanjun Li
Fengyan Liu
More Constructions of 3-Weight Linear Codes
Journal of Mathematics
author_facet Lingyong Ma
Guanjun Li
Fengyan Liu
author_sort Lingyong Ma
title More Constructions of 3-Weight Linear Codes
title_short More Constructions of 3-Weight Linear Codes
title_full More Constructions of 3-Weight Linear Codes
title_fullStr More Constructions of 3-Weight Linear Codes
title_full_unstemmed More Constructions of 3-Weight Linear Codes
title_sort more constructions of 3-weight linear codes
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2021-01-01
description Linear codes with few weights have become an interesting research topic and important applications of cryptography and coding theory. In this paper, we apply some ternary near-bent and 2-plateaued functions or r-ary functions to construct more 3-weight linear codes, where r is a prime. Moreover, we determine the weight distributions of the resulted linear codes by means of some exponential sums.
url http://dx.doi.org/10.1155/2021/6662843
work_keys_str_mv AT lingyongma moreconstructionsof3weightlinearcodes
AT guanjunli moreconstructionsof3weightlinearcodes
AT fengyanliu moreconstructionsof3weightlinearcodes
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