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The concatenated structure of cyclic and Abelian codes

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1 Author(s)

It is shown that a linear two-dimensional cyclic code of length nN 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.

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IEEE Transactions on Information Theory  (Volume:31 ,  Issue: 6 )