A Note on m-Weights of Linear Codes  

A Note on m-Weights of Linear Codes

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作  者:YUANYuan FANYun 

机构地区:[1]SchoolofMathematicsandStatistics,WuhanUniversity.Wuhan430072,Hubei,China

出  处:《Wuhan University Journal of Natural Sciences》2005年第3期481-484,共4页武汉大学学报(自然科学英文版)

基  金:SupportedbytheNationalProgramonBasicSci ences(973Program,G1999075102)

摘  要:m-weight, as a new generalization of classical Hamming weight, was discussedin this paper. A condition for the existence of linear codes of certain m-weights was given; theSingleton bound, Plotkin bound and Sphere Parking bound of Hamming weight were correspondinglygeneralized to the m-weight.m-weight, as a new generalization of classical Hamming weight, was discussedin this paper. A condition for the existence of linear codes of certain m-weights was given; theSingleton bound, Plotkin bound and Sphere Parking bound of Hamming weight were correspondinglygeneralized to the m-weight.

关 键 词:Hamming weight m-weight linear codes 

分 类 号:O157.4[理学—数学]

 

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