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

2016/05/29 by Tang, Yongsheng, Zhu, Shixin, Kai, Xiaoshan
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1605.08994

Abstract

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

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