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• W4286206381 abstract "In this paper, we first generalize the l-linear intersection pair (l-LIP) of codes over finite fields to the linear l-intersection pair of codes over finite chain rings. Then three criteria of l-linear intersection pair of codes over finite chain rings are obtained. By means of the generator set of cyclic codes, we obtain the generator set of the intersection of two cyclic codes which helps us to get a characterization of l-cyclic intersection pair of codes. As an application, l-cyclic intersection pair of codes over finite chain rings are used to construct new entanglement-assisted quantum error correcting codes. Finally, under suitable conditions, we also obtain a characterization for a l-cyclic intersection pair of codes over principal ideal rings Zk." @default.
• W4286206381 created "2022-07-21" @default.
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• W4286206381 date "2022-12-01" @default.
• W4286206381 modified "2023-10-16" @default.
• W4286206381 title "l-LIPs of codes over finite chain rings" @default.
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• W4286206381 doi "https://doi.org/10.1016/j.disc.2022.113087" @default.
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