MacWilliams type identities on the Lee and Euclidean weights for linear codes over $\mathbb{Z}_{\ell}$
Information Theory
2016-07-15 v4 math.IT
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 Necessary and sufficient conditions for the existence of MacWilliams type identities with respect to Lee and Euclidean weight enumerators for linear codes over are given. Some examples about such MacWilliams type identities are also presented.
Keywords
Cite
@article{arxiv.1605.08994,
title = {MacWilliams type identities on the Lee and Euclidean weights for linear codes over $\mathbb{Z}_{\ell}$},
author = {Yongsheng Tang and Shixin Zhu and Xiaoshan Kai},
journal= {arXiv preprint arXiv:1605.08994},
year = {2016}
}