DocumentCode :
1306132
Title :
On the equivalence of generalized concatenated codes and generalized error location codes
Author :
Maucher, Johannes ; Zyablov, Victor V. ; Bossert, Martin
Author_Institution :
Dept. of Inf. Technol., Ulm Univ., Germany
Volume :
46
Issue :
2
fYear :
2000
fDate :
3/1/2000 12:00:00 AM
Firstpage :
642
Lastpage :
649
Abstract :
We show that the generator matrix of a generalized concatenated code (GCC code) of order L consists of L submatrices, where the lth submatrix is the Kronecker product of the generator matrices of the lth inner code and the lth 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 lth submatrix is the Gronecker product of the parity-check matrices of the lth inner code and the lth outer code. Then we use these defining matrices to show that for any GCC code there exists an equivalent GEL code and vice versa
Keywords :
concatenated codes; error detection codes; matrix multiplication; Kronecker product; generalized concatenated codes; generalized error location codes; generator matrix; inner code; outer code; parity-check matrix; submatrices; Concatenated codes; Decoding; Encoding; Galois fields; Information technology; Parity check codes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/18.825834
Filename :
825834
Link To Document :
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