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Two-Weight and Three-Weight Linear Codes From Square Functions

delete2016-01-01
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PRE
AI
C
Chunming Tang
Y
Yanfeng Qi
D
Dongmei Huang *
DOI:10.1109/LCOMM.2015.2497344delete
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Abstract

Abstract

En 中文
Linear codes can be applied in secret sharing, authentication codes, association schemes, and strongly regular graphs. This letter generalizes the construction of linear codes, uses more flexible construction method, and presents linear codes with few weights. These codes contain two-weight linear codes and three-weight linear codes. Some of them are optimal.
Keywords:
Linear codes
weight distribution
quadratic character
square functions
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Journal

IEEE Communications Letters cover
IEEE Communications Letters
IF:
4.4
Papers:
1.3W
Citations:
2.2W

Organization

H
Hangzhou Dianzi University
Scholars:
1.3W
Papers: 9.6K
Citations: 7.5K
C
China West Normal University
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Papers: 2.5K
Citations: 2.7K