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A New Scheme to Determine the Weight Distributions of Binary Extended Quadratic Residue Codes

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4 Author(s)

This letter proposes a novel scheme which consists of a weight-counting algorithm, the combinatorial designs of the Assmus-Mattson theorem, and the weight polynomial of Gleason's theorem to determine the weight distributions of binary extended quadratic residue codes. As a consequence, the weight distributions of binary (138, 69, 22) and (168, 84, 24) extended quadratic residue codes are given.

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IEEE Transactions on Communications  (Volume:57 ,  Issue: 5 )