Linear recurring sequences and subfield subcodes of cyclic codes

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：bbc118

【摘要】

：

Linear recurring sequences over finite fields play an important role in coding theory and cryptography. It is known that subfield subcodes of linear codes yield

【作者】

：

GAO ZhiHan PU FangWei

【机构】

：

DepartmentofCombinatoricsandOptimization,ChelaInstituteofMathematicsandLPMC

【出处】

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中国科学：数学英文版

【发表日期】

：

2013年7期

【关键词】

：

重复序列子域子码线性码循环码多项式函数特征多项式跟踪功能生成多项式 linear recurring sequences characteris

【基金项目】

：

supported by National Key Basic Research Program of China(973 Program)(Grant No.2013CB834204),,National Natural Science Foundation of China(Grant Nos.61171082 and 10990011)

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Linear recurring sequences over finite fields play an important role in coding theory and cryptography. It is known that subfield subcodes of linear codes yield some good codes. In this paper, we study linear recurring sequences and subfield subcodes. Let

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