MacWilliams type identities on the Lee and Euclidean weights for linear codes over

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• 作者：Yongsheng Tang^a ; ^{ysh_tang@163.com} ; Shixin Zhu^b ; ^c ; ^{sxinzhu@tom.com} ; Xiaoshan Kai^b ; ^c ; ^{kxs6@sina.com}
• 关键词：94A15 ; 94B20 ; 94B60
• 刊名：Linear Algebra and its Applications
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：516
• 期：Complete
• 页码：82-92
• 全文大小：295 K
• 卷排序：516

文摘

Motivated by the works of Shiromoto [3] and Shi et al. [4], we study the existence of the MacWilliams type identities with respect to the Lee and Euclidean weight enumerators for linear codes over the ring ZℓZℓi>. Necessary and sufficient conditions for the existence of the MacWilliams type identities with respect to the Lee and Euclidean weight enumerators for linear codes over ZℓZℓi> are given. Some examples about such MacWilliams type identities are also presented.