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cs.IT2025
An Elementary Approach to MacWilliams Extension Property and Constant Weight Code with Respect to Weighted Hamming Metric
Yang Xu, Haibin Kan, Guangyue Han
In this paper, we characterize the MacWilliams extension property (MEP) and constant weight codes with respect to -weight defined on via an elementary approach, w…
cs.IT2025
Reflexive Partitions Induced by Rank Support and Non-Reflexive Partitions Induced by Rank Weight
Yang Xu, Haibin Kan, Guangyue Han
In this paper, we study partitions of finite modules induced by rank support and rank weight. First, we show that partitions induced by rank support are mutually dual with respect…