On the equivalence of generalized concatenated codes and generalized error location codes
Copyright policy )On the equivalence of generalized concatenated codes and generalized error location codes
Summary: We show that the generator matrix of a generalized concatenated code (GCC code) of order \(L\) consists of \(L\) submatrices, where the \(l\)th submatrix is the Kronecker product of the generator matrices of the \(l\)th inner code and the \(l\)th outer code. In a similar way we show that the parity-check matrix of a generalized error-location code (GEL code) of order \(L\) consists of \(L\) submatrices, where the \(l\)th submatrix is the Kronecker product of the parity-check matrices of the \(l\)th inner code and the \(l\)th outer code. Then we use these defining matrices to show that for any GCC code there exists an equivalent GEL code and vice versa.
- Russian Academy of Sciences Russian Federation
- Information Technology University Pakistan
- University of Ulm Germany
- Institute for Information Transmission Problems Russian Federation
generator matrix, parity-check matrix, Kronecker product, Other types of codes, generalized concatenated code, generalized error-location code
generator matrix, parity-check matrix, Kronecker product, Other types of codes, generalized concatenated code, generalized error-location code
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