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Threshold decoding of cyclic codes

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1 Author(s)

It is shown that every cyclic code overGF(p)can be decoded up to its minimum distance by a threshold decoder employing general parity checks and a single threshold element. This result is obtained through the application of a general decomposition theorem for complex-valued functions defined on the space of alln-tuples with elements from the ring of integers modulop.

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Information Theory, IEEE Transactions on  (Volume:15 ,  Issue: 3 )