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A Class of the Hamming Weight Hierarchy of Linear Codes with Dimension 5
  • ISSN号：1671-4512
  • 期刊名称：《华中科技大学学报：自然科学版》
  • 时间：0
  • 分类：O157.4[理学—数学;理学—基础数学] O185.1[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Computer, Wuhan University, Wuhan 430072, China, [2]School of Mathematicsand Statistics, South-Central University for Nationalities,Wuhan 430074, China, [3]Library, Nanjing Army Command College,Nanjing 210045, China
  • 相关基金：Acknowledgements This work was supported by the National Natural Science Foundation of China （Nos. 61303212 and 61170080）, the State Key Program of the National Natural Science of China （Nos. 61332019 and U1135004）, and the Fundamental Research Funds for the Central Universities, South-Central University for Nationalities （No. CZY14019）.
作者： Guoxiang Hu[1,2], Huanguo Zhang[1], Lijun Wang[2], Zhe Dong[3]
关键词： 线性码, 规格, 射影几何, 重量, 预条件, 子类, 权重, generalized Hamming weight, weight hierarchy, linear code, difference sequence, finite projective geometry
中文摘要：

The weight hierarchy of a [n; kI q] linear code C over Fq is the sequence(d1,… dr,… dk), where dr is the smallest support weight of an r-dimensional subcode of C. In this paper, by using the finite projective geometry method, we research a class of weight hierarchy of linear codes with dimension 5. We first find some new preconditions of this class. Then we divide its weight hierarchies into six subclasses, and research one subclass to determine nearly all the weight hierarchies of this subclass of weight hierarchies of linear codes with dimension 5.

英文摘要：

The weight hierarchy of a [n, k; q] linear code C over Fq is the sequence （d1,…, dr,… , dk）, where dr is the smallest support weight of an r-dimensional subcode of C. In this paper, by using the finite projective geometry method, we research a class of weight hierarchy of linear codes with dimension 5. We first find some new pre- conditions of this class. Then we divide its weight hierarchies into six subclasses, and research one subclass to determine nearly all the weight hierarchies of this subclass of weight hierarchies of linear codes with dimension 5.

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期刊信息
  • 《华中科技大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:华中科技大学
  • 主编：丁烈云
  • 地址：武汉珞喻路1037号
  • 邮编：430074
  • 邮箱：hgxbs@mail.hust.edu.cn
  • 电话：027-87543916 87544294
  • 国际标准刊号：ISSN：1671-4512
  • 国内统一刊号：ISSN：42-1658/N
  • 邮发代号:38-9
  • 获奖情况:
  • 全国优秀科技期刊,首届国家期刊奖,第二届全国优秀科技期刊评比一等奖,中国期刊方阵“双效”期刊
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  • 被引量:21013