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Some lower bounds on the minimum weight of cyclic codes of composite length

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1 Author(s)

An extension of Goethals' results [3] is presented. Cyclic codes of composite block lengthn = n_{1}n_{2}withn_{1}andn_{2}relatively prime are considered. By using a modified form of the Mattson-Solomon formulation [5], some lower bounds on the minimum weight are obtained. These lower bounds improve on the BCH bound [4] for a considerable number of nonprimitive BCH codes.

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Information Theory, IEEE Transactions on  (Volume:14 ,  Issue: 6 )