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Majority decoding of some classes of binary cyclic codes

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3 Author(s)

This paper presents majority-decoding algorithms for four classes of binary cyclic codes. The classes are those for which the parity-check polynomial is: 1) the product of two primitive polynomials with relatively prime exponents and 2) the product of (x^r + 1)/(x + 1) and a primitive polynomial, where r \geq 3 is odd and the exponents are relatively prime, together with the corresponding nonexpurgated codes.

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Information Theory, IEEE Transactions on  (Volume:20 ,  Issue: 5 )