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On MDR codes over a finite ring - MaRDI portal

On MDR codes over a finite ring (Q274529)

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scientific article; zbMATH DE number 6572837
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On MDR codes over a finite ring
scientific article; zbMATH DE number 6572837

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    On MDR codes over a finite ring (English)
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    22 April 2016
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    Summary: Our aim is to study codes over \(\mathbb{Z}_{p^r}\) satisfying two distinct Singleton type bounds. We describe the smallest free code containing an MDR code and give explicit expressions for the submodules quotients defined in [\textit{G. H. Norton} and \textit{A. Sălăgean}, IEEE Trans. Inf. Theory 46, No. 3, 1060--1067 (2000; Zbl 0963.94043)].
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    MDR codes
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    maximum distance with respect to rank codes
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    singleton type bounds
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