曹喜望

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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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Five classes of optimal two-weight linear codes

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所属单位:理学院

发表刊物:Cryptography Commun.

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 propose five classes of two-Lee-weight codes over the ring Fq+ uFq. By the Gray map, we obtain five classes of linear codes with two weights over Fq and these linear codes are optimal with respect to the Griesmer bound. As applications, we can employ these linear codes to construct secret sharing schemes with nice access structures. © 2017, Springer Science+Business Media, LLC, part of Springer Nature.

ISSN号:1936-2447

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发表时间:2018-11-01

合写作者:Luo, Gaojun

通讯作者:曹喜望