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Construction of binary minimal product parity-check matrices - MaRDI portal

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Construction of binary minimal product parity-check matrices (Q939176)

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scientific article; zbMATH DE number 5314966
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English
Construction of binary minimal product parity-check matrices
scientific article; zbMATH DE number 5314966

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    Construction of binary minimal product parity-check matrices (English)
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    21 August 2008
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    Given a linear code \(C\), a parity check matrix of \(C\) is called \textit{minimal} if it has the minimum number of nonzero entries among all the parity check matrices of \(C\). This article shows how to construct a minimal parity check matrix of a binary product code \(C_1\otimes C_2\) from minimal parity check matrices of \(C_1\) and \(C_2\).
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    Minimal parity check matrix
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    product code
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