On generalized hamming weights for codes over finite chain rings

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Abstract

In this paper, we introduce the generalized Hamming weights with respect to rank (GHWR), from a module theoretical point of view, for linear codes over finite chain rings. We consider some basic properties of GHWR.

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Horimoto, H., & Shiromoto, K. (2001). On generalized hamming weights for codes over finite chain rings. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2227, pp. 141–150). Springer Verlag. https://doi.org/10.1007/3-540-45624-4_15

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