DocumentCode :
940891
Title :
The concatenated structure of cyclic and Abelian codes
Author :
Jensen, Jorn M.
Volume :
31
Issue :
6
fYear :
1985
fDate :
11/1/1985 12:00:00 AM
Firstpage :
788
Lastpage :
793
Abstract :
It is shown that a linear two-dimensional cyclic code of length 
can be factorized into a direct sum of concatenated codes, with cyclic inner and outer codes and, conversely, thai a two-dimensional cyclic code can be constructed in this way. This result is extended, and it appears that the Abelian codes are obtainable by taking a direct sum of several concatenations of cyclic codes. Codes are constructed that are better than any previously known. In particular, low-rate cyclic codes superior to the duals of high-rate BCH codes are constructed.
can be factorized into a direct sum of concatenated codes, with cyclic inner and outer codes and, conversely, thai a two-dimensional cyclic code can be constructed in this way. This result is extended, and it appears that the Abelian codes are obtainable by taking a direct sum of several concatenations of cyclic codes. Codes are constructed that are better than any previously known. In particular, low-rate cyclic codes superior to the duals of high-rate BCH codes are constructed.Keywords :
Concatenated coding; Cyclic coding; Group coding; Multidimensional coding; Algebra; Concatenated codes; Linear code;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1985.1057109
Filename :
1057109
Link To Document :
