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 ZℓZℓ. 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 ZℓZℓ are given. Some examples about such MacWilliams type identities are also presented.