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个人信息Personal Information
教授 博士生导师
招生学科专业：
数学 -- 【招收博士、硕士研究生】 -- 数学学院
性别：男
学历：北京大学
学位：理学博士学位
所在单位：理学院
联系方式：http://faculty.nuaa.edu.cn/cxw1/zh_CN/index.htm
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A construction of linear codes and strongly regular graphs from q-polynomials
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所属单位：理学院
发表刊物：DISCRETE MATHEMATICS
关键字：Linear code Strongly regular graph q-polynomial Niho exponent Weight distribution
摘要：Linear codes with few weights have applications in secret sharing, authentication codes, association schemes, data storage systems, strongly regular graphs and some other fields. Two-weight linear codes are particularly interesting since they are closely related to finite geometry, combinatorial designs, graph theory. In this paper, we present a new approach to constructing linear codes with two or three weights from q-polynomials and study their weight distributions. As an application of two-weight linear codes, we obtain three families of strongly regular graphs. Some of the presented strongly regular graphs are new. (C) 2017 Elsevier B.V. All rights reserved.
ISSN号：0012-365X
是否译文：否
发表时间：2017-09-01
合写作者：Luo, Gaojun
通讯作者：曹喜望